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Finding the Third Proportional to 1,708.50 and 4,134.75

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Solution

The third proportional to 1,708.50 and 4,134.75 is: 10,006.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.50 : 4,134.75 = 4,134.75 : x
  2. Step 2: Convert to fraction form
    1,708.50/4,134.75 = 4,134.75/x
  3. Step 3: Cross multiply
    1,708.50x = 4,134.75 × 4,134.75
  4. Step 4: Simplify right side
    1,708.50x = 17,096,157.56
  5. Step 5: Solve for x
    x = 17,096,157.56/1,708.50
  6. Step 6: Final answer
    x = 10,006.53

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.