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Finding the Third Proportional to 9,848.88 and 21,081.73

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Solution

The third proportional to 9,848.88 and 21,081.73 is: 45,125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.88 : 21,081.73 = 21,081.73 : x
  2. Step 2: Convert to fraction form
    9,848.88/21,081.73 = 21,081.73/x
  3. Step 3: Cross multiply
    9,848.88x = 21,081.73 × 21,081.73
  4. Step 4: Simplify right side
    9,848.88x = 444,439,194.86
  5. Step 5: Solve for x
    x = 444,439,194.86/9,848.88
  6. Step 6: Final answer
    x = 45,125.85

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