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Finding the Third Proportional to 4,072 and 9,448

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Solution

The third proportional to 4,072 and 9,448 is: 21,921.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072 : 9,448 = 9,448 : x
  2. Step 2: Convert to fraction form
    4,072/9,448 = 9,448/x
  3. Step 3: Cross multiply
    4,072x = 9,448 × 9,448
  4. Step 4: Simplify right side
    4,072x = 89,264,704
  5. Step 5: Solve for x
    x = 89,264,704/4,072
  6. Step 6: Final answer
    x = 21,921.59

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.