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Finding the Third Proportional to 30,892.88 and 67,449

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Solution

The third proportional to 30,892.88 and 67,449 is: 147,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.88 : 67,449 = 67,449 : x
  2. Step 2: Convert to fraction form
    30,892.88/67,449 = 67,449/x
  3. Step 3: Cross multiply
    30,892.88x = 67,449 × 67,449
  4. Step 4: Simplify right side
    30,892.88x = 4,549,367,601
  5. Step 5: Solve for x
    x = 4,549,367,601/30,892.88
  6. Step 6: Final answer
    x = 147,262.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.