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Finding the Third Proportional to 22,496 and 49,276

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Solution

The third proportional to 22,496 and 49,276 is: 107,935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496 : 49,276 = 49,276 : x
  2. Step 2: Convert to fraction form
    22,496/49,276 = 49,276/x
  3. Step 3: Cross multiply
    22,496x = 49,276 × 49,276
  4. Step 4: Simplify right side
    22,496x = 2,428,124,176
  5. Step 5: Solve for x
    x = 2,428,124,176/22,496
  6. Step 6: Final answer
    x = 107,935.82

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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.