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Finding the Third Proportional to 35,218.88 and 72,057.75

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Solution

The third proportional to 35,218.88 and 72,057.75 is: 147,430.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,218.88 : 72,057.75 = 72,057.75 : x
  2. Step 2: Convert to fraction form
    35,218.88/72,057.75 = 72,057.75/x
  3. Step 3: Cross multiply
    35,218.88x = 72,057.75 × 72,057.75
  4. Step 4: Simplify right side
    35,218.88x = 5,192,319,335.06
  5. Step 5: Solve for x
    x = 5,192,319,335.06/35,218.88
  6. Step 6: Final answer
    x = 147,430.02

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.