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Finding the Third Proportional to 40.58 and 88.10

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Solution

The third proportional to 40.58 and 88.10 is: 191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.58 : 88.10 = 88.10 : x
  2. Step 2: Convert to fraction form
    40.58/88.10 = 88.10/x
  3. Step 3: Cross multiply
    40.58x = 88.10 × 88.10
  4. Step 4: Simplify right side
    40.58x = 7,761.50
  5. Step 5: Solve for x
    x = 7,761.50/40.58
  6. Step 6: Final answer
    x = 191.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.