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Finding the Third Proportional to 38,844.61 and 85,856.04

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Solution

The third proportional to 38,844.61 and 85,856.04 is: 189,762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,844.61 : 85,856.04 = 85,856.04 : x
  2. Step 2: Convert to fraction form
    38,844.61/85,856.04 = 85,856.04/x
  3. Step 3: Cross multiply
    38,844.61x = 85,856.04 × 85,856.04
  4. Step 4: Simplify right side
    38,844.61x = 7,371,258,751.79
  5. Step 5: Solve for x
    x = 7,371,258,751.79/38,844.61
  6. Step 6: Final answer
    x = 189,762.71

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.