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Finding the Third Proportional to 22,992 and 35,488

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Solution

The third proportional to 22,992 and 35,488 is: 54,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992 : 35,488 = 35,488 : x
  2. Step 2: Convert to fraction form
    22,992/35,488 = 35,488/x
  3. Step 3: Cross multiply
    22,992x = 35,488 × 35,488
  4. Step 4: Simplify right side
    22,992x = 1,259,398,144
  5. Step 5: Solve for x
    x = 1,259,398,144/22,992
  6. Step 6: Final answer
    x = 54,775.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.