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Finding the Third Proportional to 5,869.65 and 9,084.97

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Solution

The third proportional to 5,869.65 and 9,084.97 is: 14,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.65 : 9,084.97 = 9,084.97 : x
  2. Step 2: Convert to fraction form
    5,869.65/9,084.97 = 9,084.97/x
  3. Step 3: Cross multiply
    5,869.65x = 9,084.97 × 9,084.97
  4. Step 4: Simplify right side
    5,869.65x = 82,536,728.16
  5. Step 5: Solve for x
    x = 82,536,728.16/5,869.65
  6. Step 6: Final answer
    x = 14,061.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.