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Finding the Third Proportional to 24,301 and 39,681

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Solution

The third proportional to 24,301 and 39,681 is: 64,794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,301 : 39,681 = 39,681 : x
  2. Step 2: Convert to fraction form
    24,301/39,681 = 39,681/x
  3. Step 3: Cross multiply
    24,301x = 39,681 × 39,681
  4. Step 4: Simplify right side
    24,301x = 1,574,581,761
  5. Step 5: Solve for x
    x = 1,574,581,761/24,301
  6. Step 6: Final answer
    x = 64,794.94

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.