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Finding the Third Proportional to 3,420 and 5,952

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Solution

The third proportional to 3,420 and 5,952 is: 10,358.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420 : 5,952 = 5,952 : x
  2. Step 2: Convert to fraction form
    3,420/5,952 = 5,952/x
  3. Step 3: Cross multiply
    3,420x = 5,952 × 5,952
  4. Step 4: Simplify right side
    3,420x = 35,426,304
  5. Step 5: Solve for x
    x = 35,426,304/3,420
  6. Step 6: Final answer
    x = 10,358.57

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.