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Finding the Third Proportional to 24,200.56 and 52,109.31

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Solution

The third proportional to 24,200.56 and 52,109.31 is: 112,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,200.56 : 52,109.31 = 52,109.31 : x
  2. Step 2: Convert to fraction form
    24,200.56/52,109.31 = 52,109.31/x
  3. Step 3: Cross multiply
    24,200.56x = 52,109.31 × 52,109.31
  4. Step 4: Simplify right side
    24,200.56x = 2,715,380,449.22
  5. Step 5: Solve for x
    x = 2,715,380,449.22/24,200.56
  6. Step 6: Final answer
    x = 112,203.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.