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Finding the Third Proportional to 29.96 and 51.10

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Solution

The third proportional to 29.96 and 51.10 is: 87.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.96 : 51.10 = 51.10 : x
  2. Step 2: Convert to fraction form
    29.96/51.10 = 51.10/x
  3. Step 3: Cross multiply
    29.96x = 51.10 × 51.10
  4. Step 4: Simplify right side
    29.96x = 2,610.95
  5. Step 5: Solve for x
    x = 2,610.95/29.96
  6. Step 6: Final answer
    x = 87.14

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.