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Finding the Third Proportional to 22,820 and 49,035

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Solution

The third proportional to 22,820 and 49,035 is: 105,365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,820 : 49,035 = 49,035 : x
  2. Step 2: Convert to fraction form
    22,820/49,035 = 49,035/x
  3. Step 3: Cross multiply
    22,820x = 49,035 × 49,035
  4. Step 4: Simplify right side
    22,820x = 2,404,431,225
  5. Step 5: Solve for x
    x = 2,404,431,225/22,820
  6. Step 6: Final answer
    x = 105,365.08

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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.