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Finding the Third Proportional to 3,019.13 and 7,363.88

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Solution

The third proportional to 3,019.13 and 7,363.88 is: 17,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.13 : 7,363.88 = 7,363.88 : x
  2. Step 2: Convert to fraction form
    3,019.13/7,363.88 = 7,363.88/x
  3. Step 3: Cross multiply
    3,019.13x = 7,363.88 × 7,363.88
  4. Step 4: Simplify right side
    3,019.13x = 54,226,655.02
  5. Step 5: Solve for x
    x = 54,226,655.02/3,019.13
  6. Step 6: Final answer
    x = 17,961.05

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.