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Finding the Third Proportional to 955.55 and 1,033.17

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Solution

The third proportional to 955.55 and 1,033.17 is: 1,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.55 : 1,033.17 = 1,033.17 : x
  2. Step 2: Convert to fraction form
    955.55/1,033.17 = 1,033.17/x
  3. Step 3: Cross multiply
    955.55x = 1,033.17 × 1,033.17
  4. Step 4: Simplify right side
    955.55x = 1,067,444.12
  5. Step 5: Solve for x
    x = 1,067,444.12/955.55
  6. Step 6: Final answer
    x = 1,117.10

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.