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Finding the Third Proportional to 37,423.69 and 81,070.88

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Solution

The third proportional to 37,423.69 and 81,070.88 is: 175,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,423.69 : 81,070.88 = 81,070.88 : x
  2. Step 2: Convert to fraction form
    37,423.69/81,070.88 = 81,070.88/x
  3. Step 3: Cross multiply
    37,423.69x = 81,070.88 × 81,070.88
  4. Step 4: Simplify right side
    37,423.69x = 6,572,486,773.27
  5. Step 5: Solve for x
    x = 6,572,486,773.27/37,423.69
  6. Step 6: Final answer
    x = 175,623.71

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