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Finding the Third Proportional to 28,656 and 42,952

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Solution

The third proportional to 28,656 and 42,952 is: 64,380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,656 : 42,952 = 42,952 : x
  2. Step 2: Convert to fraction form
    28,656/42,952 = 42,952/x
  3. Step 3: Cross multiply
    28,656x = 42,952 × 42,952
  4. Step 4: Simplify right side
    28,656x = 1,844,874,304
  5. Step 5: Solve for x
    x = 1,844,874,304/28,656
  6. Step 6: Final answer
    x = 64,380.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.