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Finding the Third Proportional to 24,637.50 and 39,519

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Solution

The third proportional to 24,637.50 and 39,519 is: 63,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,637.50 : 39,519 = 39,519 : x
  2. Step 2: Convert to fraction form
    24,637.50/39,519 = 39,519/x
  3. Step 3: Cross multiply
    24,637.50x = 39,519 × 39,519
  4. Step 4: Simplify right side
    24,637.50x = 1,561,751,361
  5. Step 5: Solve for x
    x = 1,561,751,361/24,637.50
  6. Step 6: Final answer
    x = 63,389.20

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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.