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Finding the Third Proportional to 20,570 and 29,127

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Solution

The third proportional to 20,570 and 29,127 is: 41,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570 : 29,127 = 29,127 : x
  2. Step 2: Convert to fraction form
    20,570/29,127 = 29,127/x
  3. Step 3: Cross multiply
    20,570x = 29,127 × 29,127
  4. Step 4: Simplify right side
    20,570x = 848,382,129
  5. Step 5: Solve for x
    x = 848,382,129/20,570
  6. Step 6: Final answer
    x = 41,243.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.