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Finding the Third Proportional to 9,987.97 and 22,192.88

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Solution

The third proportional to 9,987.97 and 22,192.88 is: 49,311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.97 : 22,192.88 = 22,192.88 : x
  2. Step 2: Convert to fraction form
    9,987.97/22,192.88 = 22,192.88/x
  3. Step 3: Cross multiply
    9,987.97x = 22,192.88 × 22,192.88
  4. Step 4: Simplify right side
    9,987.97x = 492,523,700.77
  5. Step 5: Solve for x
    x = 492,523,700.77/9,987.97
  6. Step 6: Final answer
    x = 49,311.70

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.