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Finding the Third Proportional to 20,580 and 29,142

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Solution

The third proportional to 20,580 and 29,142 is: 41,266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580 : 29,142 = 29,142 : x
  2. Step 2: Convert to fraction form
    20,580/29,142 = 29,142/x
  3. Step 3: Cross multiply
    20,580x = 29,142 × 29,142
  4. Step 4: Simplify right side
    20,580x = 849,256,164
  5. Step 5: Solve for x
    x = 849,256,164/20,580
  6. Step 6: Final answer
    x = 41,266.09

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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.