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Finding the Third Proportional to 20,101.88 and 42,873.19

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Solution

The third proportional to 20,101.88 and 42,873.19 is: 91,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.88 : 42,873.19 = 42,873.19 : x
  2. Step 2: Convert to fraction form
    20,101.88/42,873.19 = 42,873.19/x
  3. Step 3: Cross multiply
    20,101.88x = 42,873.19 × 42,873.19
  4. Step 4: Simplify right side
    20,101.88x = 1,838,110,206.41
  5. Step 5: Solve for x
    x = 1,838,110,206.41/20,101.88
  6. Step 6: Final answer
    x = 91,439.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.