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Finding the Third Proportional to 24,570 and 36,879

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Solution

The third proportional to 24,570 and 36,879 is: 55,354.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,570 : 36,879 = 36,879 : x
  2. Step 2: Convert to fraction form
    24,570/36,879 = 36,879/x
  3. Step 3: Cross multiply
    24,570x = 36,879 × 36,879
  4. Step 4: Simplify right side
    24,570x = 1,360,060,641
  5. Step 5: Solve for x
    x = 1,360,060,641/24,570
  6. Step 6: Final answer
    x = 55,354.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.