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Finding the Third Proportional to 20,306.25 and 47,005.88

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Solution

The third proportional to 20,306.25 and 47,005.88 is: 108,811.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,306.25 : 47,005.88 = 47,005.88 : x
  2. Step 2: Convert to fraction form
    20,306.25/47,005.88 = 47,005.88/x
  3. Step 3: Cross multiply
    20,306.25x = 47,005.88 × 47,005.88
  4. Step 4: Simplify right side
    20,306.25x = 2,209,552,284.52
  5. Step 5: Solve for x
    x = 2,209,552,284.52/20,306.25
  6. Step 6: Final answer
    x = 108,811.44

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.