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Finding the Third Proportional to 24,034 and 51,536

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Solution

The third proportional to 24,034 and 51,536 is: 110,508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,034 : 51,536 = 51,536 : x
  2. Step 2: Convert to fraction form
    24,034/51,536 = 51,536/x
  3. Step 3: Cross multiply
    24,034x = 51,536 × 51,536
  4. Step 4: Simplify right side
    24,034x = 2,655,959,296
  5. Step 5: Solve for x
    x = 2,655,959,296/24,034
  6. Step 6: Final answer
    x = 110,508.42

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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.