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Finding the Third Proportional to 10,871.38 and 23,601.63

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Solution

The third proportional to 10,871.38 and 23,601.63 is: 51,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.38 : 23,601.63 = 23,601.63 : x
  2. Step 2: Convert to fraction form
    10,871.38/23,601.63 = 23,601.63/x
  3. Step 3: Cross multiply
    10,871.38x = 23,601.63 × 23,601.63
  4. Step 4: Simplify right side
    10,871.38x = 557,036,702.64
  5. Step 5: Solve for x
    x = 557,036,702.64/10,871.38
  6. Step 6: Final answer
    x = 51,238.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.