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Finding the Third Proportional to 52.97 and 77.16

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Solution

The third proportional to 52.97 and 77.16 is: 112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.97 : 77.16 = 77.16 : x
  2. Step 2: Convert to fraction form
    52.97/77.16 = 77.16/x
  3. Step 3: Cross multiply
    52.97x = 77.16 × 77.16
  4. Step 4: Simplify right side
    52.97x = 5,953.09
  5. Step 5: Solve for x
    x = 5,953.09/52.97
  6. Step 6: Final answer
    x = 112.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.