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Finding the Third Proportional to 3,482.16 and 5,224.08

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Solution

The third proportional to 3,482.16 and 5,224.08 is: 7,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.16 : 5,224.08 = 5,224.08 : x
  2. Step 2: Convert to fraction form
    3,482.16/5,224.08 = 5,224.08/x
  3. Step 3: Cross multiply
    3,482.16x = 5,224.08 × 5,224.08
  4. Step 4: Simplify right side
    3,482.16x = 27,290,992.26
  5. Step 5: Solve for x
    x = 27,290,992.26/3,482.16
  6. Step 6: Final answer
    x = 7,837.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.