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Finding the Third Proportional to 24.31 and 53.13

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Solution

The third proportional to 24.31 and 53.13 is: 116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.31 : 53.13 = 53.13 : x
  2. Step 2: Convert to fraction form
    24.31/53.13 = 53.13/x
  3. Step 3: Cross multiply
    24.31x = 53.13 × 53.13
  4. Step 4: Simplify right side
    24.31x = 2,822.27
  5. Step 5: Solve for x
    x = 2,822.27/24.31
  6. Step 6: Final answer
    x = 116.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.