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Finding the Third Proportional to 1,738.13 and 2,688.75

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Solution

The third proportional to 1,738.13 and 2,688.75 is: 4,159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.13 : 2,688.75 = 2,688.75 : x
  2. Step 2: Convert to fraction form
    1,738.13/2,688.75 = 2,688.75/x
  3. Step 3: Cross multiply
    1,738.13x = 2,688.75 × 2,688.75
  4. Step 4: Simplify right side
    1,738.13x = 7,229,376.56
  5. Step 5: Solve for x
    x = 7,229,376.56/1,738.13
  6. Step 6: Final answer
    x = 4,159.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.