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Finding the Third Proportional to 56.50 and 81.13

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Solution

The third proportional to 56.50 and 81.13 is: 116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.50 : 81.13 = 81.13 : x
  2. Step 2: Convert to fraction form
    56.50/81.13 = 81.13/x
  3. Step 3: Cross multiply
    56.50x = 81.13 × 81.13
  4. Step 4: Simplify right side
    56.50x = 6,581.27
  5. Step 5: Solve for x
    x = 6,581.27/56.50
  6. Step 6: Final answer
    x = 116.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.