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Finding the Third Proportional to 39,591 and 58,090.50

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Solution

The third proportional to 39,591 and 58,090.50 is: 85,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,591 : 58,090.50 = 58,090.50 : x
  2. Step 2: Convert to fraction form
    39,591/58,090.50 = 58,090.50/x
  3. Step 3: Cross multiply
    39,591x = 58,090.50 × 58,090.50
  4. Step 4: Simplify right side
    39,591x = 3,374,506,190.25
  5. Step 5: Solve for x
    x = 3,374,506,190.25/39,591
  6. Step 6: Final answer
    x = 85,234.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.