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Finding the Third Proportional to 10.97 and 15.40

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Solution

The third proportional to 10.97 and 15.40 is: 21.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.97 : 15.40 = 15.40 : x
  2. Step 2: Convert to fraction form
    10.97/15.40 = 15.40/x
  3. Step 3: Cross multiply
    10.97x = 15.40 × 15.40
  4. Step 4: Simplify right side
    10.97x = 237.11
  5. Step 5: Solve for x
    x = 237.11/10.97
  6. Step 6: Final answer
    x = 21.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.