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Finding the Third Proportional to 17,656 and 24,751

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Solution

The third proportional to 17,656 and 24,751 is: 34,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656 : 24,751 = 24,751 : x
  2. Step 2: Convert to fraction form
    17,656/24,751 = 24,751/x
  3. Step 3: Cross multiply
    17,656x = 24,751 × 24,751
  4. Step 4: Simplify right side
    17,656x = 612,612,001
  5. Step 5: Solve for x
    x = 612,612,001/17,656
  6. Step 6: Final answer
    x = 34,697.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.