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Finding the Third Proportional to 8,296.17 and 18,130.08

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Solution

The third proportional to 8,296.17 and 18,130.08 is: 39,620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.17 : 18,130.08 = 18,130.08 : x
  2. Step 2: Convert to fraction form
    8,296.17/18,130.08 = 18,130.08/x
  3. Step 3: Cross multiply
    8,296.17x = 18,130.08 × 18,130.08
  4. Step 4: Simplify right side
    8,296.17x = 328,699,732.82
  5. Step 5: Solve for x
    x = 328,699,732.82/8,296.17
  6. Step 6: Final answer
    x = 39,620.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.