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Finding the Third Proportional to 2,837.25 and 6,062.63

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Solution

The third proportional to 2,837.25 and 6,062.63 is: 12,954.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.25 : 6,062.63 = 6,062.63 : x
  2. Step 2: Convert to fraction form
    2,837.25/6,062.63 = 6,062.63/x
  3. Step 3: Cross multiply
    2,837.25x = 6,062.63 × 6,062.63
  4. Step 4: Simplify right side
    2,837.25x = 36,755,421.89
  5. Step 5: Solve for x
    x = 36,755,421.89/2,837.25
  6. Step 6: Final answer
    x = 12,954.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.