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Finding the Third Proportional to 23,691 and 51,559

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Solution

The third proportional to 23,691 and 51,559 is: 112,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,691 : 51,559 = 51,559 : x
  2. Step 2: Convert to fraction form
    23,691/51,559 = 51,559/x
  3. Step 3: Cross multiply
    23,691x = 51,559 × 51,559
  4. Step 4: Simplify right side
    23,691x = 2,658,330,481
  5. Step 5: Solve for x
    x = 2,658,330,481/23,691
  6. Step 6: Final answer
    x = 112,208.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.