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Finding the Third Proportional to 24,993 and 53,538

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Solution

The third proportional to 24,993 and 53,538 is: 114,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,993 : 53,538 = 53,538 : x
  2. Step 2: Convert to fraction form
    24,993/53,538 = 53,538/x
  3. Step 3: Cross multiply
    24,993x = 53,538 × 53,538
  4. Step 4: Simplify right side
    24,993x = 2,866,317,444
  5. Step 5: Solve for x
    x = 2,866,317,444/24,993
  6. Step 6: Final answer
    x = 114,684.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.