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Finding the Third Proportional to 9,871.13 and 21,099

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Solution

The third proportional to 9,871.13 and 21,099 is: 45,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.13 : 21,099 = 21,099 : x
  2. Step 2: Convert to fraction form
    9,871.13/21,099 = 21,099/x
  3. Step 3: Cross multiply
    9,871.13x = 21,099 × 21,099
  4. Step 4: Simplify right side
    9,871.13x = 445,167,801
  5. Step 5: Solve for x
    x = 445,167,801/9,871.13
  6. Step 6: Final answer
    x = 45,097.98

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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.