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Finding the Third Proportional to 2,876.13 and 4,785.96

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Solution

The third proportional to 2,876.13 and 4,785.96 is: 7,963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.13 : 4,785.96 = 4,785.96 : x
  2. Step 2: Convert to fraction form
    2,876.13/4,785.96 = 4,785.96/x
  3. Step 3: Cross multiply
    2,876.13x = 4,785.96 × 4,785.96
  4. Step 4: Simplify right side
    2,876.13x = 22,905,422.10
  5. Step 5: Solve for x
    x = 22,905,422.10/2,876.13
  6. Step 6: Final answer
    x = 7,963.97

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.