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Finding the Third Proportional to 20,104.88 and 42,881.06

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Solution

The third proportional to 20,104.88 and 42,881.06 is: 91,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,104.88 : 42,881.06 = 42,881.06 : x
  2. Step 2: Convert to fraction form
    20,104.88/42,881.06 = 42,881.06/x
  3. Step 3: Cross multiply
    20,104.88x = 42,881.06 × 42,881.06
  4. Step 4: Simplify right side
    20,104.88x = 1,838,785,521.13
  5. Step 5: Solve for x
    x = 1,838,785,521.13/20,104.88
  6. Step 6: Final answer
    x = 91,459.68

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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.