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Finding the Third Proportional to 24,824 and 34,724.50

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Solution

The third proportional to 24,824 and 34,724.50 is: 48,573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824 : 34,724.50 = 34,724.50 : x
  2. Step 2: Convert to fraction form
    24,824/34,724.50 = 34,724.50/x
  3. Step 3: Cross multiply
    24,824x = 34,724.50 × 34,724.50
  4. Step 4: Simplify right side
    24,824x = 1,205,790,900.25
  5. Step 5: Solve for x
    x = 1,205,790,900.25/24,824
  6. Step 6: Final answer
    x = 48,573.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.