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Finding the Third Proportional to 5,656.29 and 12,427.80

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Solution

The third proportional to 5,656.29 and 12,427.80 is: 27,305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.29 : 12,427.80 = 12,427.80 : x
  2. Step 2: Convert to fraction form
    5,656.29/12,427.80 = 12,427.80/x
  3. Step 3: Cross multiply
    5,656.29x = 12,427.80 × 12,427.80
  4. Step 4: Simplify right side
    5,656.29x = 154,450,329.35
  5. Step 5: Solve for x
    x = 154,450,329.35/5,656.29
  6. Step 6: Final answer
    x = 27,305.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.