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Finding the Third Proportional to 1,441.39 and 3,165.17

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Solution

The third proportional to 1,441.39 and 3,165.17 is: 6,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.39 : 3,165.17 = 3,165.17 : x
  2. Step 2: Convert to fraction form
    1,441.39/3,165.17 = 3,165.17/x
  3. Step 3: Cross multiply
    1,441.39x = 3,165.17 × 3,165.17
  4. Step 4: Simplify right side
    1,441.39x = 10,018,300.63
  5. Step 5: Solve for x
    x = 10,018,300.63/1,441.39
  6. Step 6: Final answer
    x = 6,950.45

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