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Finding the Third Proportional to 24,035 and 51,538

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Solution

The third proportional to 24,035 and 51,538 is: 110,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,035 : 51,538 = 51,538 : x
  2. Step 2: Convert to fraction form
    24,035/51,538 = 51,538/x
  3. Step 3: Cross multiply
    24,035x = 51,538 × 51,538
  4. Step 4: Simplify right side
    24,035x = 2,656,165,444
  5. Step 5: Solve for x
    x = 2,656,165,444/24,035
  6. Step 6: Final answer
    x = 110,512.40

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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.