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Finding the Third Proportional to 1,695.62 and 2,592.21

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Solution

The third proportional to 1,695.62 and 2,592.21 is: 3,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.62 : 2,592.21 = 2,592.21 : x
  2. Step 2: Convert to fraction form
    1,695.62/2,592.21 = 2,592.21/x
  3. Step 3: Cross multiply
    1,695.62x = 2,592.21 × 2,592.21
  4. Step 4: Simplify right side
    1,695.62x = 6,719,557.54
  5. Step 5: Solve for x
    x = 6,719,557.54/1,695.62
  6. Step 6: Final answer
    x = 3,962.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.