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Finding the Third Proportional to 52.50 and 87.38

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Solution

The third proportional to 52.50 and 87.38 is: 145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.50 : 87.38 = 87.38 : x
  2. Step 2: Convert to fraction form
    52.50/87.38 = 87.38/x
  3. Step 3: Cross multiply
    52.50x = 87.38 × 87.38
  4. Step 4: Simplify right side
    52.50x = 7,634.39
  5. Step 5: Solve for x
    x = 7,634.39/52.50
  6. Step 6: Final answer
    x = 145.42

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.