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Finding the Third Proportional to 22,608 and 34,438

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Solution

The third proportional to 22,608 and 34,438 is: 52,458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,608 : 34,438 = 34,438 : x
  2. Step 2: Convert to fraction form
    22,608/34,438 = 34,438/x
  3. Step 3: Cross multiply
    22,608x = 34,438 × 34,438
  4. Step 4: Simplify right side
    22,608x = 1,185,975,844
  5. Step 5: Solve for x
    x = 1,185,975,844/22,608
  6. Step 6: Final answer
    x = 52,458.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.