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Finding the Third Proportional to 24,754 and 39,854

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Solution

The third proportional to 24,754 and 39,854 is: 64,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,754 : 39,854 = 39,854 : x
  2. Step 2: Convert to fraction form
    24,754/39,854 = 39,854/x
  3. Step 3: Cross multiply
    24,754x = 39,854 × 39,854
  4. Step 4: Simplify right side
    24,754x = 1,588,341,316
  5. Step 5: Solve for x
    x = 1,588,341,316/24,754
  6. Step 6: Final answer
    x = 64,165.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.