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Finding the Third Proportional to 3,223.13 and 7,740.56

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Solution

The third proportional to 3,223.13 and 7,740.56 is: 18,589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.13 : 7,740.56 = 7,740.56 : x
  2. Step 2: Convert to fraction form
    3,223.13/7,740.56 = 7,740.56/x
  3. Step 3: Cross multiply
    3,223.13x = 7,740.56 × 7,740.56
  4. Step 4: Simplify right side
    3,223.13x = 59,916,307.82
  5. Step 5: Solve for x
    x = 59,916,307.82/3,223.13
  6. Step 6: Final answer
    x = 18,589.51

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.