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Finding the Third Proportional to 28,392 and 43,277

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Solution

The third proportional to 28,392 and 43,277 is: 65,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,392 : 43,277 = 43,277 : x
  2. Step 2: Convert to fraction form
    28,392/43,277 = 43,277/x
  3. Step 3: Cross multiply
    28,392x = 43,277 × 43,277
  4. Step 4: Simplify right side
    28,392x = 1,872,898,729
  5. Step 5: Solve for x
    x = 1,872,898,729/28,392
  6. Step 6: Final answer
    x = 65,965.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.