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Finding the Third Proportional to 2,886.42 and 4,323.22

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Solution

The third proportional to 2,886.42 and 4,323.22 is: 6,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.42 : 4,323.22 = 4,323.22 : x
  2. Step 2: Convert to fraction form
    2,886.42/4,323.22 = 4,323.22/x
  3. Step 3: Cross multiply
    2,886.42x = 4,323.22 × 4,323.22
  4. Step 4: Simplify right side
    2,886.42x = 18,690,203.47
  5. Step 5: Solve for x
    x = 18,690,203.47/2,886.42
  6. Step 6: Final answer
    x = 6,475.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.