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Finding the Third Proportional to 24,034 and 52,747

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Solution

The third proportional to 24,034 and 52,747 is: 115,762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,034 : 52,747 = 52,747 : x
  2. Step 2: Convert to fraction form
    24,034/52,747 = 52,747/x
  3. Step 3: Cross multiply
    24,034x = 52,747 × 52,747
  4. Step 4: Simplify right side
    24,034x = 2,782,246,009
  5. Step 5: Solve for x
    x = 2,782,246,009/24,034
  6. Step 6: Final answer
    x = 115,762.92

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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.