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Finding the Third Proportional to 22,746 and 49,326

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Solution

The third proportional to 22,746 and 49,326 is: 106,966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,746 : 49,326 = 49,326 : x
  2. Step 2: Convert to fraction form
    22,746/49,326 = 49,326/x
  3. Step 3: Cross multiply
    22,746x = 49,326 × 49,326
  4. Step 4: Simplify right side
    22,746x = 2,433,054,276
  5. Step 5: Solve for x
    x = 2,433,054,276/22,746
  6. Step 6: Final answer
    x = 106,966.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.