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Finding the Third Proportional to 22,783 and 48,967

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Solution

The third proportional to 22,783 and 48,967 is: 105,243.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783 : 48,967 = 48,967 : x
  2. Step 2: Convert to fraction form
    22,783/48,967 = 48,967/x
  3. Step 3: Cross multiply
    22,783x = 48,967 × 48,967
  4. Step 4: Simplify right side
    22,783x = 2,397,767,089
  5. Step 5: Solve for x
    x = 2,397,767,089/22,783
  6. Step 6: Final answer
    x = 105,243.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.