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Finding the Third Proportional to 48,374 and 72,844

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Solution

The third proportional to 48,374 and 72,844 is: 109,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,374 : 72,844 = 72,844 : x
  2. Step 2: Convert to fraction form
    48,374/72,844 = 72,844/x
  3. Step 3: Cross multiply
    48,374x = 72,844 × 72,844
  4. Step 4: Simplify right side
    48,374x = 5,306,248,336
  5. Step 5: Solve for x
    x = 5,306,248,336/48,374
  6. Step 6: Final answer
    x = 109,692.16

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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.