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Finding the Third Proportional to 53.06 and 71.44

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Solution

The third proportional to 53.06 and 71.44 is: 96.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.06 : 71.44 = 71.44 : x
  2. Step 2: Convert to fraction form
    53.06/71.44 = 71.44/x
  3. Step 3: Cross multiply
    53.06x = 71.44 × 71.44
  4. Step 4: Simplify right side
    53.06x = 5,103.32
  5. Step 5: Solve for x
    x = 5,103.32/53.06
  6. Step 6: Final answer
    x = 96.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.