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Finding the Third Proportional to 3,397.75 and 5,224.13

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Solution

The third proportional to 3,397.75 and 5,224.13 is: 8,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.75 : 5,224.13 = 5,224.13 : x
  2. Step 2: Convert to fraction form
    3,397.75/5,224.13 = 5,224.13/x
  3. Step 3: Cross multiply
    3,397.75x = 5,224.13 × 5,224.13
  4. Step 4: Simplify right side
    3,397.75x = 27,291,482.02
  5. Step 5: Solve for x
    x = 27,291,482.02/3,397.75
  6. Step 6: Final answer
    x = 8,032.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.