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Finding the Third Proportional to 10,747.05 and 23,031.84

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Solution

The third proportional to 10,747.05 and 23,031.84 is: 49,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,747.05 : 23,031.84 = 23,031.84 : x
  2. Step 2: Convert to fraction form
    10,747.05/23,031.84 = 23,031.84/x
  3. Step 3: Cross multiply
    10,747.05x = 23,031.84 × 23,031.84
  4. Step 4: Simplify right side
    10,747.05x = 530,465,826.52
  5. Step 5: Solve for x
    x = 530,465,826.52/10,747.05
  6. Step 6: Final answer
    x = 49,359.18

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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.