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Finding the Third Proportional to 39,212.23 and 84,882.94

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Solution

The third proportional to 39,212.23 and 84,882.94 is: 183,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,212.23 : 84,882.94 = 84,882.94 : x
  2. Step 2: Convert to fraction form
    39,212.23/84,882.94 = 84,882.94/x
  3. Step 3: Cross multiply
    39,212.23x = 84,882.94 × 84,882.94
  4. Step 4: Simplify right side
    39,212.23x = 7,205,113,078.63
  5. Step 5: Solve for x
    x = 7,205,113,078.63/39,212.23
  6. Step 6: Final answer
    x = 183,746.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.