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Finding the Third Proportional to 2,854.50 and 6,134.25

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Solution

The third proportional to 2,854.50 and 6,134.25 is: 13,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.50 : 6,134.25 = 6,134.25 : x
  2. Step 2: Convert to fraction form
    2,854.50/6,134.25 = 6,134.25/x
  3. Step 3: Cross multiply
    2,854.50x = 6,134.25 × 6,134.25
  4. Step 4: Simplify right side
    2,854.50x = 37,629,023.06
  5. Step 5: Solve for x
    x = 37,629,023.06/2,854.50
  6. Step 6: Final answer
    x = 13,182.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.