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Finding the Third Proportional to 2,827.97 and 6,148.55

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Solution

The third proportional to 2,827.97 and 6,148.55 is: 13,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.97 : 6,148.55 = 6,148.55 : x
  2. Step 2: Convert to fraction form
    2,827.97/6,148.55 = 6,148.55/x
  3. Step 3: Cross multiply
    2,827.97x = 6,148.55 × 6,148.55
  4. Step 4: Simplify right side
    2,827.97x = 37,804,628.67
  5. Step 5: Solve for x
    x = 37,804,628.67/2,827.97
  6. Step 6: Final answer
    x = 13,368.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.