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Finding the Third Proportional to 35,446.88 and 77,882.25

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Solution

The third proportional to 35,446.88 and 77,882.25 is: 171,119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,446.88 : 77,882.25 = 77,882.25 : x
  2. Step 2: Convert to fraction form
    35,446.88/77,882.25 = 77,882.25/x
  3. Step 3: Cross multiply
    35,446.88x = 77,882.25 × 77,882.25
  4. Step 4: Simplify right side
    35,446.88x = 6,065,644,865.06
  5. Step 5: Solve for x
    x = 6,065,644,865.06/35,446.88
  6. Step 6: Final answer
    x = 171,119.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.