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Finding the Third Proportional to 10,737 and 23,127

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Solution

The third proportional to 10,737 and 23,127 is: 49,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737 : 23,127 = 23,127 : x
  2. Step 2: Convert to fraction form
    10,737/23,127 = 23,127/x
  3. Step 3: Cross multiply
    10,737x = 23,127 × 23,127
  4. Step 4: Simplify right side
    10,737x = 534,858,129
  5. Step 5: Solve for x
    x = 534,858,129/10,737
  6. Step 6: Final answer
    x = 49,814.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.