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Finding the Third Proportional to 2,867.23 and 4,340.50

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Solution

The third proportional to 2,867.23 and 4,340.50 is: 6,570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.23 : 4,340.50 = 4,340.50 : x
  2. Step 2: Convert to fraction form
    2,867.23/4,340.50 = 4,340.50/x
  3. Step 3: Cross multiply
    2,867.23x = 4,340.50 × 4,340.50
  4. Step 4: Simplify right side
    2,867.23x = 18,839,901.57
  5. Step 5: Solve for x
    x = 18,839,901.57/2,867.23
  6. Step 6: Final answer
    x = 6,570.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.