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Finding the Third Proportional to 39,396.94 and 84,329.72

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Solution

The third proportional to 39,396.94 and 84,329.72 is: 180,508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,396.94 : 84,329.72 = 84,329.72 : x
  2. Step 2: Convert to fraction form
    39,396.94/84,329.72 = 84,329.72/x
  3. Step 3: Cross multiply
    39,396.94x = 84,329.72 × 84,329.72
  4. Step 4: Simplify right side
    39,396.94x = 7,111,501,464.45
  5. Step 5: Solve for x
    x = 7,111,501,464.45/39,396.94
  6. Step 6: Final answer
    x = 180,508.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.