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Finding the Third Proportional to 4,165.17 and 9,000.49

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Solution

The third proportional to 4,165.17 and 9,000.49 is: 19,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.17 : 9,000.49 = 9,000.49 : x
  2. Step 2: Convert to fraction form
    4,165.17/9,000.49 = 9,000.49/x
  3. Step 3: Cross multiply
    4,165.17x = 9,000.49 × 9,000.49
  4. Step 4: Simplify right side
    4,165.17x = 81,008,859.62
  5. Step 5: Solve for x
    x = 81,008,859.62/4,165.17
  6. Step 6: Final answer
    x = 19,449.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.