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Finding the Third Proportional to 5,420 and 7,952

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Solution

The third proportional to 5,420 and 7,952 is: 11,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420 : 7,952 = 7,952 : x
  2. Step 2: Convert to fraction form
    5,420/7,952 = 7,952/x
  3. Step 3: Cross multiply
    5,420x = 7,952 × 7,952
  4. Step 4: Simplify right side
    5,420x = 63,234,304
  5. Step 5: Solve for x
    x = 63,234,304/5,420
  6. Step 6: Final answer
    x = 11,666.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.