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Finding the Third Proportional to 8,218.13 and 17,460.14

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Solution

The third proportional to 8,218.13 and 17,460.14 is: 37,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.13 : 17,460.14 = 17,460.14 : x
  2. Step 2: Convert to fraction form
    8,218.13/17,460.14 = 17,460.14/x
  3. Step 3: Cross multiply
    8,218.13x = 17,460.14 × 17,460.14
  4. Step 4: Simplify right side
    8,218.13x = 304,856,510.64
  5. Step 5: Solve for x
    x = 304,856,510.64/8,218.13
  6. Step 6: Final answer
    x = 37,095.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.