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Finding the Third Proportional to 33,218 and 48,548

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Solution

The third proportional to 33,218 and 48,548 is: 70,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,218 : 48,548 = 48,548 : x
  2. Step 2: Convert to fraction form
    33,218/48,548 = 48,548/x
  3. Step 3: Cross multiply
    33,218x = 48,548 × 48,548
  4. Step 4: Simplify right side
    33,218x = 2,356,908,304
  5. Step 5: Solve for x
    x = 2,356,908,304/33,218
  6. Step 6: Final answer
    x = 70,952.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.