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Finding the Third Proportional to 10,520.25 and 22,680.75

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Solution

The third proportional to 10,520.25 and 22,680.75 is: 48,897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.25 : 22,680.75 = 22,680.75 : x
  2. Step 2: Convert to fraction form
    10,520.25/22,680.75 = 22,680.75/x
  3. Step 3: Cross multiply
    10,520.25x = 22,680.75 × 22,680.75
  4. Step 4: Simplify right side
    10,520.25x = 514,416,420.56
  5. Step 5: Solve for x
    x = 514,416,420.56/10,520.25
  6. Step 6: Final answer
    x = 48,897.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.