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Finding the Third Proportional to 9.90 and 14.71

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Solution

The third proportional to 9.90 and 14.71 is: 21.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.90 : 14.71 = 14.71 : x
  2. Step 2: Convert to fraction form
    9.90/14.71 = 14.71/x
  3. Step 3: Cross multiply
    9.90x = 14.71 × 14.71
  4. Step 4: Simplify right side
    9.90x = 216.50
  5. Step 5: Solve for x
    x = 216.50/9.90
  6. Step 6: Final answer
    x = 21.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.