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Finding the Third Proportional to 24,235 and 52,288.50

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Solution

The third proportional to 24,235 and 52,288.50 is: 112,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,235 : 52,288.50 = 52,288.50 : x
  2. Step 2: Convert to fraction form
    24,235/52,288.50 = 52,288.50/x
  3. Step 3: Cross multiply
    24,235x = 52,288.50 × 52,288.50
  4. Step 4: Simplify right side
    24,235x = 2,734,087,232.25
  5. Step 5: Solve for x
    x = 2,734,087,232.25/24,235
  6. Step 6: Final answer
    x = 112,815.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.