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Finding the Third Proportional to 58.25 and 87.84

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Solution

The third proportional to 58.25 and 87.84 is: 132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.25 : 87.84 = 87.84 : x
  2. Step 2: Convert to fraction form
    58.25/87.84 = 87.84/x
  3. Step 3: Cross multiply
    58.25x = 87.84 × 87.84
  4. Step 4: Simplify right side
    58.25x = 7,716.52
  5. Step 5: Solve for x
    x = 7,716.52/58.25
  6. Step 6: Final answer
    x = 132.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.