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Finding the Third Proportional to 58.41 and 87.66

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Solution

The third proportional to 58.41 and 87.66 is: 131.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.41 : 87.66 = 87.66 : x
  2. Step 2: Convert to fraction form
    58.41/87.66 = 87.66/x
  3. Step 3: Cross multiply
    58.41x = 87.66 × 87.66
  4. Step 4: Simplify right side
    58.41x = 7,683.62
  5. Step 5: Solve for x
    x = 7,683.62/58.41
  6. Step 6: Final answer
    x = 131.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.