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Finding the Third Proportional to 1,707.17 and 1,963.46

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Solution

The third proportional to 1,707.17 and 1,963.46 is: 2,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.17 : 1,963.46 = 1,963.46 : x
  2. Step 2: Convert to fraction form
    1,707.17/1,963.46 = 1,963.46/x
  3. Step 3: Cross multiply
    1,707.17x = 1,963.46 × 1,963.46
  4. Step 4: Simplify right side
    1,707.17x = 3,855,171.18
  5. Step 5: Solve for x
    x = 3,855,171.18/1,707.17
  6. Step 6: Final answer
    x = 2,258.22

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.