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Finding the Third Proportional to 2,733.25 and 6,416.88

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Solution

The third proportional to 2,733.25 and 6,416.88 is: 15,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.25 : 6,416.88 = 6,416.88 : x
  2. Step 2: Convert to fraction form
    2,733.25/6,416.88 = 6,416.88/x
  3. Step 3: Cross multiply
    2,733.25x = 6,416.88 × 6,416.88
  4. Step 4: Simplify right side
    2,733.25x = 41,176,284.77
  5. Step 5: Solve for x
    x = 41,176,284.77/2,733.25
  6. Step 6: Final answer
    x = 15,064.95

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.