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Finding the Third Proportional to 49,313.81 and 70,517.25

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Solution

The third proportional to 49,313.81 and 70,517.25 is: 100,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,313.81 : 70,517.25 = 70,517.25 : x
  2. Step 2: Convert to fraction form
    49,313.81/70,517.25 = 70,517.25/x
  3. Step 3: Cross multiply
    49,313.81x = 70,517.25 × 70,517.25
  4. Step 4: Simplify right side
    49,313.81x = 4,972,682,547.56
  5. Step 5: Solve for x
    x = 4,972,682,547.56/49,313.81
  6. Step 6: Final answer
    x = 100,837.52

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.