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Finding the Third Proportional to 5,825.67 and 9,711.14

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Solution

The third proportional to 5,825.67 and 9,711.14 is: 16,188.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.67 : 9,711.14 = 9,711.14 : x
  2. Step 2: Convert to fraction form
    5,825.67/9,711.14 = 9,711.14/x
  3. Step 3: Cross multiply
    5,825.67x = 9,711.14 × 9,711.14
  4. Step 4: Simplify right side
    5,825.67x = 94,306,252.24
  5. Step 5: Solve for x
    x = 94,306,252.24/5,825.67
  6. Step 6: Final answer
    x = 16,188.05

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.