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Finding the Third Proportional to 48,820 and 73,230

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Solution

The third proportional to 48,820 and 73,230 is: 109,845

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,820 : 73,230 = 73,230 : x
  2. Step 2: Convert to fraction form
    48,820/73,230 = 73,230/x
  3. Step 3: Cross multiply
    48,820x = 73,230 × 73,230
  4. Step 4: Simplify right side
    48,820x = 5,362,632,900
  5. Step 5: Solve for x
    x = 5,362,632,900/48,820
  6. Step 6: Final answer
    x = 109,845

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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.