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Finding the Third Proportional to 3,429 and 5,159.25

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Solution

The third proportional to 3,429 and 5,159.25 is: 7,762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429 : 5,159.25 = 5,159.25 : x
  2. Step 2: Convert to fraction form
    3,429/5,159.25 = 5,159.25/x
  3. Step 3: Cross multiply
    3,429x = 5,159.25 × 5,159.25
  4. Step 4: Simplify right side
    3,429x = 26,617,860.56
  5. Step 5: Solve for x
    x = 26,617,860.56/3,429
  6. Step 6: Final answer
    x = 7,762.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.