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Finding the Third Proportional to 56.06 and 60.88

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Solution

The third proportional to 56.06 and 60.88 is: 66.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.06 : 60.88 = 60.88 : x
  2. Step 2: Convert to fraction form
    56.06/60.88 = 60.88/x
  3. Step 3: Cross multiply
    56.06x = 60.88 × 60.88
  4. Step 4: Simplify right side
    56.06x = 3,705.77
  5. Step 5: Solve for x
    x = 3,705.77/56.06
  6. Step 6: Final answer
    x = 66.10

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.