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Finding the Third Proportional to 15,717 and 34,023

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Solution

The third proportional to 15,717 and 34,023 is: 73,650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,717 : 34,023 = 34,023 : x
  2. Step 2: Convert to fraction form
    15,717/34,023 = 34,023/x
  3. Step 3: Cross multiply
    15,717x = 34,023 × 34,023
  4. Step 4: Simplify right side
    15,717x = 1,157,564,529
  5. Step 5: Solve for x
    x = 1,157,564,529/15,717
  6. Step 6: Final answer
    x = 73,650.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.