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Finding the Third Proportional to 22,664 and 53,326

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Solution

The third proportional to 22,664 and 53,326 is: 125,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,664 : 53,326 = 53,326 : x
  2. Step 2: Convert to fraction form
    22,664/53,326 = 53,326/x
  3. Step 3: Cross multiply
    22,664x = 53,326 × 53,326
  4. Step 4: Simplify right side
    22,664x = 2,843,662,276
  5. Step 5: Solve for x
    x = 2,843,662,276/22,664
  6. Step 6: Final answer
    x = 125,470.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.