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Finding the Third Proportional to 10,574 and 22,326

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Solution

The third proportional to 10,574 and 22,326 is: 47,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574 : 22,326 = 22,326 : x
  2. Step 2: Convert to fraction form
    10,574/22,326 = 22,326/x
  3. Step 3: Cross multiply
    10,574x = 22,326 × 22,326
  4. Step 4: Simplify right side
    10,574x = 498,450,276
  5. Step 5: Solve for x
    x = 498,450,276/10,574
  6. Step 6: Final answer
    x = 47,139.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.