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Finding the Third Proportional to 9,876.38 and 21,754.13

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Solution

The third proportional to 9,876.38 and 21,754.13 is: 47,916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.38 : 21,754.13 = 21,754.13 : x
  2. Step 2: Convert to fraction form
    9,876.38/21,754.13 = 21,754.13/x
  3. Step 3: Cross multiply
    9,876.38x = 21,754.13 × 21,754.13
  4. Step 4: Simplify right side
    9,876.38x = 473,241,954.52
  5. Step 5: Solve for x
    x = 473,241,954.52/9,876.38
  6. Step 6: Final answer
    x = 47,916.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.