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Finding the Third Proportional to 3,998.25 and 5,981.63

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Solution

The third proportional to 3,998.25 and 5,981.63 is: 8,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.25 : 5,981.63 = 5,981.63 : x
  2. Step 2: Convert to fraction form
    3,998.25/5,981.63 = 5,981.63/x
  3. Step 3: Cross multiply
    3,998.25x = 5,981.63 × 5,981.63
  4. Step 4: Simplify right side
    3,998.25x = 35,779,837.64
  5. Step 5: Solve for x
    x = 35,779,837.64/3,998.25
  6. Step 6: Final answer
    x = 8,948.87

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1.5x scale

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.