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Finding the Third Proportional to 53.16 and 72.14

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Solution

The third proportional to 53.16 and 72.14 is: 97.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.16 : 72.14 = 72.14 : x
  2. Step 2: Convert to fraction form
    53.16/72.14 = 72.14/x
  3. Step 3: Cross multiply
    53.16x = 72.14 × 72.14
  4. Step 4: Simplify right side
    53.16x = 5,204.27
  5. Step 5: Solve for x
    x = 5,204.27/53.16
  6. Step 6: Final answer
    x = 97.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.