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Finding the Third Proportional to 9,271.13 and 19,747.13

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Solution

The third proportional to 9,271.13 and 19,747.13 is: 42,060.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.13 : 19,747.13 = 19,747.13 : x
  2. Step 2: Convert to fraction form
    9,271.13/19,747.13 = 19,747.13/x
  3. Step 3: Cross multiply
    9,271.13x = 19,747.13 × 19,747.13
  4. Step 4: Simplify right side
    9,271.13x = 389,948,945.77
  5. Step 5: Solve for x
    x = 389,948,945.77/9,271.13
  6. Step 6: Final answer
    x = 42,060.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.