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Finding the Third Proportional to 48,822 and 73,226

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Solution

The third proportional to 48,822 and 73,226 is: 109,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,822 : 73,226 = 73,226 : x
  2. Step 2: Convert to fraction form
    48,822/73,226 = 73,226/x
  3. Step 3: Cross multiply
    48,822x = 73,226 × 73,226
  4. Step 4: Simplify right side
    48,822x = 5,362,047,076
  5. Step 5: Solve for x
    x = 5,362,047,076/48,822
  6. Step 6: Final answer
    x = 109,828.50

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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.