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Finding the Third Proportional to 24,996 and 37,566

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Solution

The third proportional to 24,996 and 37,566 is: 56,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,996 : 37,566 = 37,566 : x
  2. Step 2: Convert to fraction form
    24,996/37,566 = 37,566/x
  3. Step 3: Cross multiply
    24,996x = 37,566 × 37,566
  4. Step 4: Simplify right side
    24,996x = 1,411,204,356
  5. Step 5: Solve for x
    x = 1,411,204,356/24,996
  6. Step 6: Final answer
    x = 56,457.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.