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Finding the Third Proportional to 2,669.99 and 5,854.31

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Solution

The third proportional to 2,669.99 and 5,854.31 is: 12,836.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.99 : 5,854.31 = 5,854.31 : x
  2. Step 2: Convert to fraction form
    2,669.99/5,854.31 = 5,854.31/x
  3. Step 3: Cross multiply
    2,669.99x = 5,854.31 × 5,854.31
  4. Step 4: Simplify right side
    2,669.99x = 34,272,906.24
  5. Step 5: Solve for x
    x = 34,272,906.24/2,669.99
  6. Step 6: Final answer
    x = 12,836.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.