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Finding the Third Proportional to 1,102.75 and 1,470.25

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Solution

The third proportional to 1,102.75 and 1,470.25 is: 1,960.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.75 : 1,470.25 = 1,470.25 : x
  2. Step 2: Convert to fraction form
    1,102.75/1,470.25 = 1,470.25/x
  3. Step 3: Cross multiply
    1,102.75x = 1,470.25 × 1,470.25
  4. Step 4: Simplify right side
    1,102.75x = 2,161,635.06
  5. Step 5: Solve for x
    x = 2,161,635.06/1,102.75
  6. Step 6: Final answer
    x = 1,960.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.