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Finding the Third Proportional to 24,351.50 and 38,065

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Solution

The third proportional to 24,351.50 and 38,065 is: 59,501.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,351.50 : 38,065 = 38,065 : x
  2. Step 2: Convert to fraction form
    24,351.50/38,065 = 38,065/x
  3. Step 3: Cross multiply
    24,351.50x = 38,065 × 38,065
  4. Step 4: Simplify right side
    24,351.50x = 1,448,944,225
  5. Step 5: Solve for x
    x = 1,448,944,225/24,351.50
  6. Step 6: Final answer
    x = 59,501.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.