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Finding the Third Proportional to 29.10 and 42.86

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Solution

The third proportional to 29.10 and 42.86 is: 63.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.10 : 42.86 = 42.86 : x
  2. Step 2: Convert to fraction form
    29.10/42.86 = 42.86/x
  3. Step 3: Cross multiply
    29.10x = 42.86 × 42.86
  4. Step 4: Simplify right side
    29.10x = 1,837.25
  5. Step 5: Solve for x
    x = 1,837.25/29.10
  6. Step 6: Final answer
    x = 63.14

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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.