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Finding the Third Proportional to 5.98 and 9.15

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Solution

The third proportional to 5.98 and 9.15 is: 13.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.98 : 9.15 = 9.15 : x
  2. Step 2: Convert to fraction form
    5.98/9.15 = 9.15/x
  3. Step 3: Cross multiply
    5.98x = 9.15 × 9.15
  4. Step 4: Simplify right side
    5.98x = 83.71
  5. Step 5: Solve for x
    x = 83.71/5.98
  6. Step 6: Final answer
    x = 13.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.