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Finding the Third Proportional to 24,200.44 and 52,109.06

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Solution

The third proportional to 24,200.44 and 52,109.06 is: 112,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,200.44 : 52,109.06 = 52,109.06 : x
  2. Step 2: Convert to fraction form
    24,200.44/52,109.06 = 52,109.06/x
  3. Step 3: Cross multiply
    24,200.44x = 52,109.06 × 52,109.06
  4. Step 4: Simplify right side
    24,200.44x = 2,715,354,394.63
  5. Step 5: Solve for x
    x = 2,715,354,394.63/24,200.44
  6. Step 6: Final answer
    x = 112,202.70

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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.