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Finding the Third Proportional to 24,464 and 37,729

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Solution

The third proportional to 24,464 and 37,729 is: 58,186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464 : 37,729 = 37,729 : x
  2. Step 2: Convert to fraction form
    24,464/37,729 = 37,729/x
  3. Step 3: Cross multiply
    24,464x = 37,729 × 37,729
  4. Step 4: Simplify right side
    24,464x = 1,423,477,441
  5. Step 5: Solve for x
    x = 1,423,477,441/24,464
  6. Step 6: Final answer
    x = 58,186.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.