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Finding the Third Proportional to 39,856.13 and 84,211.13

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Solution

The third proportional to 39,856.13 and 84,211.13 is: 177,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,856.13 : 84,211.13 = 84,211.13 : x
  2. Step 2: Convert to fraction form
    39,856.13/84,211.13 = 84,211.13/x
  3. Step 3: Cross multiply
    39,856.13x = 84,211.13 × 84,211.13
  4. Step 4: Simplify right side
    39,856.13x = 7,091,513,573.77
  5. Step 5: Solve for x
    x = 7,091,513,573.77/39,856.13
  6. Step 6: Final answer
    x = 177,927.82

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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.