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Finding the Third Proportional to 56.32 and 68.59

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Solution

The third proportional to 56.32 and 68.59 is: 83.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.32 : 68.59 = 68.59 : x
  2. Step 2: Convert to fraction form
    56.32/68.59 = 68.59/x
  3. Step 3: Cross multiply
    56.32x = 68.59 × 68.59
  4. Step 4: Simplify right side
    56.32x = 4,704.57
  5. Step 5: Solve for x
    x = 4,704.57/56.32
  6. Step 6: Final answer
    x = 83.53

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.