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Finding the Third Proportional to 22,484 and 49,018

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Solution

The third proportional to 22,484 and 49,018 is: 106,865.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484 : 49,018 = 49,018 : x
  2. Step 2: Convert to fraction form
    22,484/49,018 = 49,018/x
  3. Step 3: Cross multiply
    22,484x = 49,018 × 49,018
  4. Step 4: Simplify right side
    22,484x = 2,402,764,324
  5. Step 5: Solve for x
    x = 2,402,764,324/22,484
  6. Step 6: Final answer
    x = 106,865.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.