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Finding the Third Proportional to 49,993.88 and 70,313.06

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Solution

The third proportional to 49,993.88 and 70,313.06 is: 98,890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,993.88 : 70,313.06 = 70,313.06 : x
  2. Step 2: Convert to fraction form
    49,993.88/70,313.06 = 70,313.06/x
  3. Step 3: Cross multiply
    49,993.88x = 70,313.06 × 70,313.06
  4. Step 4: Simplify right side
    49,993.88x = 4,943,926,758.13
  5. Step 5: Solve for x
    x = 4,943,926,758.13/49,993.88
  6. Step 6: Final answer
    x = 98,890.65

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.