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Finding the Third Proportional to 37,814.50 and 81,523

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Solution

The third proportional to 37,814.50 and 81,523 is: 175,752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,814.50 : 81,523 = 81,523 : x
  2. Step 2: Convert to fraction form
    37,814.50/81,523 = 81,523/x
  3. Step 3: Cross multiply
    37,814.50x = 81,523 × 81,523
  4. Step 4: Simplify right side
    37,814.50x = 6,645,999,529
  5. Step 5: Solve for x
    x = 6,645,999,529/37,814.50
  6. Step 6: Final answer
    x = 175,752.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.