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Finding the Third Proportional to 9,754.17 and 18,259.17

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Solution

The third proportional to 9,754.17 and 18,259.17 is: 34,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.17 : 18,259.17 = 18,259.17 : x
  2. Step 2: Convert to fraction form
    9,754.17/18,259.17 = 18,259.17/x
  3. Step 3: Cross multiply
    9,754.17x = 18,259.17 × 18,259.17
  4. Step 4: Simplify right side
    9,754.17x = 333,397,357.56
  5. Step 5: Solve for x
    x = 333,397,357.56/9,754.17
  6. Step 6: Final answer
    x = 34,179.98

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.