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Finding the Third Proportional to 19,864 and 29,127

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Solution

The third proportional to 19,864 and 29,127 is: 42,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,864 : 29,127 = 29,127 : x
  2. Step 2: Convert to fraction form
    19,864/29,127 = 29,127/x
  3. Step 3: Cross multiply
    19,864x = 29,127 × 29,127
  4. Step 4: Simplify right side
    19,864x = 848,382,129
  5. Step 5: Solve for x
    x = 848,382,129/19,864
  6. Step 6: Final answer
    x = 42,709.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.