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Finding the Third Proportional to 51,001 and 71,693

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Solution

The third proportional to 51,001 and 71,693 is: 100,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,001 : 71,693 = 71,693 : x
  2. Step 2: Convert to fraction form
    51,001/71,693 = 71,693/x
  3. Step 3: Cross multiply
    51,001x = 71,693 × 71,693
  4. Step 4: Simplify right side
    51,001x = 5,139,886,249
  5. Step 5: Solve for x
    x = 5,139,886,249/51,001
  6. Step 6: Final answer
    x = 100,780.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.