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Finding the Third Proportional to 2,876.13 and 6,054.12

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Solution

The third proportional to 2,876.13 and 6,054.12 is: 12,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.13 : 6,054.12 = 6,054.12 : x
  2. Step 2: Convert to fraction form
    2,876.13/6,054.12 = 6,054.12/x
  3. Step 3: Cross multiply
    2,876.13x = 6,054.12 × 6,054.12
  4. Step 4: Simplify right side
    2,876.13x = 36,652,334.92
  5. Step 5: Solve for x
    x = 36,652,334.92/2,876.13
  6. Step 6: Final answer
    x = 12,743.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.