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Finding the Third Proportional to 1,602 and 3,675.38

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Solution

The third proportional to 1,602 and 3,675.38 is: 8,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602 : 3,675.38 = 3,675.38 : x
  2. Step 2: Convert to fraction form
    1,602/3,675.38 = 3,675.38/x
  3. Step 3: Cross multiply
    1,602x = 3,675.38 × 3,675.38
  4. Step 4: Simplify right side
    1,602x = 13,508,381.39
  5. Step 5: Solve for x
    x = 13,508,381.39/1,602
  6. Step 6: Final answer
    x = 8,432.20

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.