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Finding the Third Proportional to 37,508.50 and 81,457

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Solution

The third proportional to 37,508.50 and 81,457 is: 176,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,508.50 : 81,457 = 81,457 : x
  2. Step 2: Convert to fraction form
    37,508.50/81,457 = 81,457/x
  3. Step 3: Cross multiply
    37,508.50x = 81,457 × 81,457
  4. Step 4: Simplify right side
    37,508.50x = 6,635,242,849
  5. Step 5: Solve for x
    x = 6,635,242,849/37,508.50
  6. Step 6: Final answer
    x = 176,899.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.