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Finding the Third Proportional to 73.48 and 97.51

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Solution

The third proportional to 73.48 and 97.51 is: 129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.48 : 97.51 = 97.51 : x
  2. Step 2: Convert to fraction form
    73.48/97.51 = 97.51/x
  3. Step 3: Cross multiply
    73.48x = 97.51 × 97.51
  4. Step 4: Simplify right side
    73.48x = 9,508.20
  5. Step 5: Solve for x
    x = 9,508.20/73.48
  6. Step 6: Final answer
    x = 129.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.