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Finding the Third Proportional to 39,592.41 and 85,373.72

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Solution

The third proportional to 39,592.41 and 85,373.72 is: 184,092.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,592.41 : 85,373.72 = 85,373.72 : x
  2. Step 2: Convert to fraction form
    39,592.41/85,373.72 = 85,373.72/x
  3. Step 3: Cross multiply
    39,592.41x = 85,373.72 × 85,373.72
  4. Step 4: Simplify right side
    39,592.41x = 7,288,671,853.20
  5. Step 5: Solve for x
    x = 7,288,671,853.20/39,592.41
  6. Step 6: Final answer
    x = 184,092.67

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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.