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Finding the Third Proportional to 41,737.50 and 86,385

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Solution

The third proportional to 41,737.50 and 86,385 is: 178,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,737.50 : 86,385 = 86,385 : x
  2. Step 2: Convert to fraction form
    41,737.50/86,385 = 86,385/x
  3. Step 3: Cross multiply
    41,737.50x = 86,385 × 86,385
  4. Step 4: Simplify right side
    41,737.50x = 7,462,368,225
  5. Step 5: Solve for x
    x = 7,462,368,225/41,737.50
  6. Step 6: Final answer
    x = 178,792.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.