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Finding the Third Proportional to 24.29 and 53.02

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Solution

The third proportional to 24.29 and 53.02 is: 115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.29 : 53.02 = 53.02 : x
  2. Step 2: Convert to fraction form
    24.29/53.02 = 53.02/x
  3. Step 3: Cross multiply
    24.29x = 53.02 × 53.02
  4. Step 4: Simplify right side
    24.29x = 2,810.66
  5. Step 5: Solve for x
    x = 2,810.66/24.29
  6. Step 6: Final answer
    x = 115.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.