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Finding the Third Proportional to 42,349.50 and 89,397

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Solution

The third proportional to 42,349.50 and 89,397 is: 188,711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,349.50 : 89,397 = 89,397 : x
  2. Step 2: Convert to fraction form
    42,349.50/89,397 = 89,397/x
  3. Step 3: Cross multiply
    42,349.50x = 89,397 × 89,397
  4. Step 4: Simplify right side
    42,349.50x = 7,991,823,609
  5. Step 5: Solve for x
    x = 7,991,823,609/42,349.50
  6. Step 6: Final answer
    x = 188,711.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.