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Finding the Third Proportional to 24,566 and 37,806

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Solution

The third proportional to 24,566 and 37,806 is: 58,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,566 : 37,806 = 37,806 : x
  2. Step 2: Convert to fraction form
    24,566/37,806 = 37,806/x
  3. Step 3: Cross multiply
    24,566x = 37,806 × 37,806
  4. Step 4: Simplify right side
    24,566x = 1,429,293,636
  5. Step 5: Solve for x
    x = 1,429,293,636/24,566
  6. Step 6: Final answer
    x = 58,181.78

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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.