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Finding the Third Proportional to 24,705 and 39,613.50

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Solution

The third proportional to 24,705 and 39,613.50 is: 63,518.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705 : 39,613.50 = 39,613.50 : x
  2. Step 2: Convert to fraction form
    24,705/39,613.50 = 39,613.50/x
  3. Step 3: Cross multiply
    24,705x = 39,613.50 × 39,613.50
  4. Step 4: Simplify right side
    24,705x = 1,569,229,382.25
  5. Step 5: Solve for x
    x = 1,569,229,382.25/24,705
  6. Step 6: Final answer
    x = 63,518.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.