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Finding the Third Proportional to 39,568.50 and 83,551.50

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Solution

The third proportional to 39,568.50 and 83,551.50 is: 176,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,568.50 : 83,551.50 = 83,551.50 : x
  2. Step 2: Convert to fraction form
    39,568.50/83,551.50 = 83,551.50/x
  3. Step 3: Cross multiply
    39,568.50x = 83,551.50 × 83,551.50
  4. Step 4: Simplify right side
    39,568.50x = 6,980,853,152.25
  5. Step 5: Solve for x
    x = 6,980,853,152.25/39,568.50
  6. Step 6: Final answer
    x = 176,424.51

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.