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Finding the Third Proportional to 24,698.25 and 35,194.50

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Solution

The third proportional to 24,698.25 and 35,194.50 is: 50,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,698.25 : 35,194.50 = 35,194.50 : x
  2. Step 2: Convert to fraction form
    24,698.25/35,194.50 = 35,194.50/x
  3. Step 3: Cross multiply
    24,698.25x = 35,194.50 × 35,194.50
  4. Step 4: Simplify right side
    24,698.25x = 1,238,652,830.25
  5. Step 5: Solve for x
    x = 1,238,652,830.25/24,698.25
  6. Step 6: Final answer
    x = 50,151.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.