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Finding the Third Proportional to 2,275.87 and 4,867.97

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Solution

The third proportional to 2,275.87 and 4,867.97 is: 10,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.87 : 4,867.97 = 4,867.97 : x
  2. Step 2: Convert to fraction form
    2,275.87/4,867.97 = 4,867.97/x
  3. Step 3: Cross multiply
    2,275.87x = 4,867.97 × 4,867.97
  4. Step 4: Simplify right side
    2,275.87x = 23,697,126.88
  5. Step 5: Solve for x
    x = 23,697,126.88/2,275.87
  6. Step 6: Final answer
    x = 10,412.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.