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Finding the Third Proportional to 48,984 and 73,286.06

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Solution

The third proportional to 48,984 and 73,286.06 is: 109,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,984 : 73,286.06 = 73,286.06 : x
  2. Step 2: Convert to fraction form
    48,984/73,286.06 = 73,286.06/x
  3. Step 3: Cross multiply
    48,984x = 73,286.06 × 73,286.06
  4. Step 4: Simplify right side
    48,984x = 5,370,846,956.75
  5. Step 5: Solve for x
    x = 5,370,846,956.75/48,984
  6. Step 6: Final answer
    x = 109,644.92

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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.