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Finding the Third Proportional to 24.13 and 63.50

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Solution

The third proportional to 24.13 and 63.50 is: 167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.13 : 63.50 = 63.50 : x
  2. Step 2: Convert to fraction form
    24.13/63.50 = 63.50/x
  3. Step 3: Cross multiply
    24.13x = 63.50 × 63.50
  4. Step 4: Simplify right side
    24.13x = 4,032.25
  5. Step 5: Solve for x
    x = 4,032.25/24.13
  6. Step 6: Final answer
    x = 167.14

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.