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Finding the Third Proportional to 23,559 and 51,207

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Solution

The third proportional to 23,559 and 51,207 is: 111,301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,559 : 51,207 = 51,207 : x
  2. Step 2: Convert to fraction form
    23,559/51,207 = 51,207/x
  3. Step 3: Cross multiply
    23,559x = 51,207 × 51,207
  4. Step 4: Simplify right side
    23,559x = 2,622,156,849
  5. Step 5: Solve for x
    x = 2,622,156,849/23,559
  6. Step 6: Final answer
    x = 111,301.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.