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Finding the Third Proportional to 8,488.13 and 18,270.14

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Solution

The third proportional to 8,488.13 and 18,270.14 is: 39,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.13 : 18,270.14 = 18,270.14 : x
  2. Step 2: Convert to fraction form
    8,488.13/18,270.14 = 18,270.14/x
  3. Step 3: Cross multiply
    8,488.13x = 18,270.14 × 18,270.14
  4. Step 4: Simplify right side
    8,488.13x = 333,798,038.46
  5. Step 5: Solve for x
    x = 333,798,038.46/8,488.13
  6. Step 6: Final answer
    x = 39,325.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.