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Finding the Third Proportional to 33,410 and 49,022

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Solution

The third proportional to 33,410 and 49,022 is: 71,929.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,410 : 49,022 = 49,022 : x
  2. Step 2: Convert to fraction form
    33,410/49,022 = 49,022/x
  3. Step 3: Cross multiply
    33,410x = 49,022 × 49,022
  4. Step 4: Simplify right side
    33,410x = 2,403,156,484
  5. Step 5: Solve for x
    x = 2,403,156,484/33,410
  6. Step 6: Final answer
    x = 71,929.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.