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Finding the Third Proportional to 24.41 and 53.51

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Solution

The third proportional to 24.41 and 53.51 is: 117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.41 : 53.51 = 53.51 : x
  2. Step 2: Convert to fraction form
    24.41/53.51 = 53.51/x
  3. Step 3: Cross multiply
    24.41x = 53.51 × 53.51
  4. Step 4: Simplify right side
    24.41x = 2,862.95
  5. Step 5: Solve for x
    x = 2,862.95/24.41
  6. Step 6: Final answer
    x = 117.29

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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.