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Finding the Third Proportional to 39,955.78 and 84,839.06

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Solution

The third proportional to 39,955.78 and 84,839.06 is: 180,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,955.78 : 84,839.06 = 84,839.06 : x
  2. Step 2: Convert to fraction form
    39,955.78/84,839.06 = 84,839.06/x
  3. Step 3: Cross multiply
    39,955.78x = 84,839.06 × 84,839.06
  4. Step 4: Simplify right side
    39,955.78x = 7,197,666,525.88
  5. Step 5: Solve for x
    x = 7,197,666,525.88/39,955.78
  6. Step 6: Final answer
    x = 180,140.80

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.