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Finding the Third Proportional to 2,876.13 and 4,762.71

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Solution

The third proportional to 2,876.13 and 4,762.71 is: 7,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.13 : 4,762.71 = 4,762.71 : x
  2. Step 2: Convert to fraction form
    2,876.13/4,762.71 = 4,762.71/x
  3. Step 3: Cross multiply
    2,876.13x = 4,762.71 × 4,762.71
  4. Step 4: Simplify right side
    2,876.13x = 22,683,359.66
  5. Step 5: Solve for x
    x = 22,683,359.66/2,876.13
  6. Step 6: Final answer
    x = 7,886.76

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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.