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Finding the Third Proportional to 53.44 and 68.91

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Solution

The third proportional to 53.44 and 68.91 is: 88.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.44 : 68.91 = 68.91 : x
  2. Step 2: Convert to fraction form
    53.44/68.91 = 68.91/x
  3. Step 3: Cross multiply
    53.44x = 68.91 × 68.91
  4. Step 4: Simplify right side
    53.44x = 4,748.07
  5. Step 5: Solve for x
    x = 4,748.07/53.44
  6. Step 6: Final answer
    x = 88.85

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.