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Finding the Third Proportional to 15,017 and 34,760

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Solution

The third proportional to 15,017 and 34,760 is: 80,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,017 : 34,760 = 34,760 : x
  2. Step 2: Convert to fraction form
    15,017/34,760 = 34,760/x
  3. Step 3: Cross multiply
    15,017x = 34,760 × 34,760
  4. Step 4: Simplify right side
    15,017x = 1,208,257,600
  5. Step 5: Solve for x
    x = 1,208,257,600/15,017
  6. Step 6: Final answer
    x = 80,459.32

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.