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Finding the Third Proportional to 39,718.50 and 58,241

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Solution

The third proportional to 39,718.50 and 58,241 is: 85,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,718.50 : 58,241 = 58,241 : x
  2. Step 2: Convert to fraction form
    39,718.50/58,241 = 58,241/x
  3. Step 3: Cross multiply
    39,718.50x = 58,241 × 58,241
  4. Step 4: Simplify right side
    39,718.50x = 3,392,014,081
  5. Step 5: Solve for x
    x = 3,392,014,081/39,718.50
  6. Step 6: Final answer
    x = 85,401.36

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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.