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Finding the Third Proportional to 12.53 and 32.14

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Solution

The third proportional to 12.53 and 32.14 is: 82.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.53 : 32.14 = 32.14 : x
  2. Step 2: Convert to fraction form
    12.53/32.14 = 32.14/x
  3. Step 3: Cross multiply
    12.53x = 32.14 × 32.14
  4. Step 4: Simplify right side
    12.53x = 1,032.92
  5. Step 5: Solve for x
    x = 1,032.92/12.53
  6. Step 6: Final answer
    x = 82.40

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.