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Finding the Third Proportional to 1,165.36 and 2,271.66

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Solution

The third proportional to 1,165.36 and 2,271.66 is: 4,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.36 : 2,271.66 = 2,271.66 : x
  2. Step 2: Convert to fraction form
    1,165.36/2,271.66 = 2,271.66/x
  3. Step 3: Cross multiply
    1,165.36x = 2,271.66 × 2,271.66
  4. Step 4: Simplify right side
    1,165.36x = 5,160,422.12
  5. Step 5: Solve for x
    x = 5,160,422.12/1,165.36
  6. Step 6: Final answer
    x = 4,428.18

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.