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Finding the Third Proportional to 1,659.47 and 3,647.14

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Solution

The third proportional to 1,659.47 and 3,647.14 is: 8,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.47 : 3,647.14 = 3,647.14 : x
  2. Step 2: Convert to fraction form
    1,659.47/3,647.14 = 3,647.14/x
  3. Step 3: Cross multiply
    1,659.47x = 3,647.14 × 3,647.14
  4. Step 4: Simplify right side
    1,659.47x = 13,301,599.12
  5. Step 5: Solve for x
    x = 13,301,599.12/1,659.47
  6. Step 6: Final answer
    x = 8,015.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.