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Finding the Third Proportional to 29.13 and 42.88

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Solution

The third proportional to 29.13 and 42.88 is: 63.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.13 : 42.88 = 42.88 : x
  2. Step 2: Convert to fraction form
    29.13/42.88 = 42.88/x
  3. Step 3: Cross multiply
    29.13x = 42.88 × 42.88
  4. Step 4: Simplify right side
    29.13x = 1,838.27
  5. Step 5: Solve for x
    x = 1,838.27/29.13
  6. Step 6: Final answer
    x = 63.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.