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Finding the Third Proportional to 35,089.88 and 71,820

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Solution

The third proportional to 35,089.88 and 71,820 is: 146,997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,089.88 : 71,820 = 71,820 : x
  2. Step 2: Convert to fraction form
    35,089.88/71,820 = 71,820/x
  3. Step 3: Cross multiply
    35,089.88x = 71,820 × 71,820
  4. Step 4: Simplify right side
    35,089.88x = 5,158,112,400
  5. Step 5: Solve for x
    x = 5,158,112,400/35,089.88
  6. Step 6: Final answer
    x = 146,997.17

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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.