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Finding the Third Proportional to 3,454.21 and 7,360.24

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Solution

The third proportional to 3,454.21 and 7,360.24 is: 15,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.21 : 7,360.24 = 7,360.24 : x
  2. Step 2: Convert to fraction form
    3,454.21/7,360.24 = 7,360.24/x
  3. Step 3: Cross multiply
    3,454.21x = 7,360.24 × 7,360.24
  4. Step 4: Simplify right side
    3,454.21x = 54,173,165.06
  5. Step 5: Solve for x
    x = 54,173,165.06/3,454.21
  6. Step 6: Final answer
    x = 15,683.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.