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Finding the Third Proportional to 2,785.13 and 6,023.63

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Solution

The third proportional to 2,785.13 and 6,023.63 is: 13,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.13 : 6,023.63 = 6,023.63 : x
  2. Step 2: Convert to fraction form
    2,785.13/6,023.63 = 6,023.63/x
  3. Step 3: Cross multiply
    2,785.13x = 6,023.63 × 6,023.63
  4. Step 4: Simplify right side
    2,785.13x = 36,284,058.14
  5. Step 5: Solve for x
    x = 36,284,058.14/2,785.13
  6. Step 6: Final answer
    x = 13,027.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.