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Finding the Third Proportional to 24,350 and 50,572

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Solution

The third proportional to 24,350 and 50,572 is: 105,031.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,350 : 50,572 = 50,572 : x
  2. Step 2: Convert to fraction form
    24,350/50,572 = 50,572/x
  3. Step 3: Cross multiply
    24,350x = 50,572 × 50,572
  4. Step 4: Simplify right side
    24,350x = 2,557,527,184
  5. Step 5: Solve for x
    x = 2,557,527,184/24,350
  6. Step 6: Final answer
    x = 105,031.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.