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Finding the Third Proportional to 3,070.13 and 6,550.13

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Solution

The third proportional to 3,070.13 and 6,550.13 is: 13,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.13 : 6,550.13 = 6,550.13 : x
  2. Step 2: Convert to fraction form
    3,070.13/6,550.13 = 6,550.13/x
  3. Step 3: Cross multiply
    3,070.13x = 6,550.13 × 6,550.13
  4. Step 4: Simplify right side
    3,070.13x = 42,904,137.52
  5. Step 5: Solve for x
    x = 42,904,137.52/3,070.13
  6. Step 6: Final answer
    x = 13,974.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.