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Finding the Third Proportional to 24,840 and 37,581

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Solution

The third proportional to 24,840 and 37,581 is: 56,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,840 : 37,581 = 37,581 : x
  2. Step 2: Convert to fraction form
    24,840/37,581 = 37,581/x
  3. Step 3: Cross multiply
    24,840x = 37,581 × 37,581
  4. Step 4: Simplify right side
    24,840x = 1,412,331,561
  5. Step 5: Solve for x
    x = 1,412,331,561/24,840
  6. Step 6: Final answer
    x = 56,857.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.