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Finding the Third Proportional to 5,470.75 and 11,990.25

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Solution

The third proportional to 5,470.75 and 11,990.25 is: 26,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.75 : 11,990.25 = 11,990.25 : x
  2. Step 2: Convert to fraction form
    5,470.75/11,990.25 = 11,990.25/x
  3. Step 3: Cross multiply
    5,470.75x = 11,990.25 × 11,990.25
  4. Step 4: Simplify right side
    5,470.75x = 143,766,095.06
  5. Step 5: Solve for x
    x = 143,766,095.06/5,470.75
  6. Step 6: Final answer
    x = 26,279.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.