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Finding the Third Proportional to 22,657.13 and 48,595.88

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Solution

The third proportional to 22,657.13 and 48,595.88 is: 104,230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.13 : 48,595.88 = 48,595.88 : x
  2. Step 2: Convert to fraction form
    22,657.13/48,595.88 = 48,595.88/x
  3. Step 3: Cross multiply
    22,657.13x = 48,595.88 × 48,595.88
  4. Step 4: Simplify right side
    22,657.13x = 2,361,559,067.02
  5. Step 5: Solve for x
    x = 2,361,559,067.02/22,657.13
  6. Step 6: Final answer
    x = 104,230.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.