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Finding the Third Proportional to 3,470.50 and 7,223.75

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Solution

The third proportional to 3,470.50 and 7,223.75 is: 15,036.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.50 : 7,223.75 = 7,223.75 : x
  2. Step 2: Convert to fraction form
    3,470.50/7,223.75 = 7,223.75/x
  3. Step 3: Cross multiply
    3,470.50x = 7,223.75 × 7,223.75
  4. Step 4: Simplify right side
    3,470.50x = 52,182,564.06
  5. Step 5: Solve for x
    x = 52,182,564.06/3,470.50
  6. Step 6: Final answer
    x = 15,036.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.