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Finding the Third Proportional to 22,714 and 49,792

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Solution

The third proportional to 22,714 and 49,792 is: 109,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714 : 49,792 = 49,792 : x
  2. Step 2: Convert to fraction form
    22,714/49,792 = 49,792/x
  3. Step 3: Cross multiply
    22,714x = 49,792 × 49,792
  4. Step 4: Simplify right side
    22,714x = 2,479,243,264
  5. Step 5: Solve for x
    x = 2,479,243,264/22,714
  6. Step 6: Final answer
    x = 109,150.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.