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Finding the Third Proportional to 2,752.31 and 6,323.91

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Solution

The third proportional to 2,752.31 and 6,323.91 is: 14,530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.31 : 6,323.91 = 6,323.91 : x
  2. Step 2: Convert to fraction form
    2,752.31/6,323.91 = 6,323.91/x
  3. Step 3: Cross multiply
    2,752.31x = 6,323.91 × 6,323.91
  4. Step 4: Simplify right side
    2,752.31x = 39,991,790.26
  5. Step 5: Solve for x
    x = 39,991,790.26/2,752.31
  6. Step 6: Final answer
    x = 14,530.25

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.