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Finding the Third Proportional to 1,614.62 and 3,421.46

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Solution

The third proportional to 1,614.62 and 3,421.46 is: 7,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.62 : 3,421.46 = 3,421.46 : x
  2. Step 2: Convert to fraction form
    1,614.62/3,421.46 = 3,421.46/x
  3. Step 3: Cross multiply
    1,614.62x = 3,421.46 × 3,421.46
  4. Step 4: Simplify right side
    1,614.62x = 11,706,381.58
  5. Step 5: Solve for x
    x = 11,706,381.58/1,614.62
  6. Step 6: Final answer
    x = 7,250.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.