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Finding the Third Proportional to 24.61 and 53.02

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Solution

The third proportional to 24.61 and 53.02 is: 114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.61 : 53.02 = 53.02 : x
  2. Step 2: Convert to fraction form
    24.61/53.02 = 53.02/x
  3. Step 3: Cross multiply
    24.61x = 53.02 × 53.02
  4. Step 4: Simplify right side
    24.61x = 2,810.66
  5. Step 5: Solve for x
    x = 2,810.66/24.61
  6. Step 6: Final answer
    x = 114.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.