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Finding the Third Proportional to 3,429 and 7,378.03

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Solution

The third proportional to 3,429 and 7,378.03 is: 15,874.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429 : 7,378.03 = 7,378.03 : x
  2. Step 2: Convert to fraction form
    3,429/7,378.03 = 7,378.03/x
  3. Step 3: Cross multiply
    3,429x = 7,378.03 × 7,378.03
  4. Step 4: Simplify right side
    3,429x = 54,435,345.13
  5. Step 5: Solve for x
    x = 54,435,345.13/3,429
  6. Step 6: Final answer
    x = 15,874.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.