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Finding the Third Proportional to 48,439 and 72,938

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Solution

The third proportional to 48,439 and 72,938 is: 109,827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,439 : 72,938 = 72,938 : x
  2. Step 2: Convert to fraction form
    48,439/72,938 = 72,938/x
  3. Step 3: Cross multiply
    48,439x = 72,938 × 72,938
  4. Step 4: Simplify right side
    48,439x = 5,319,951,844
  5. Step 5: Solve for x
    x = 5,319,951,844/48,439
  6. Step 6: Final answer
    x = 109,827.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.