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Finding the Third Proportional to 2,878.66 and 6,062.98

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Solution

The third proportional to 2,878.66 and 6,062.98 is: 12,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.66 : 6,062.98 = 6,062.98 : x
  2. Step 2: Convert to fraction form
    2,878.66/6,062.98 = 6,062.98/x
  3. Step 3: Cross multiply
    2,878.66x = 6,062.98 × 6,062.98
  4. Step 4: Simplify right side
    2,878.66x = 36,759,684.80
  5. Step 5: Solve for x
    x = 36,759,684.80/2,878.66
  6. Step 6: Final answer
    x = 12,769.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.