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Finding the Third Proportional to 39,648 and 58,376.25

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Solution

The third proportional to 39,648 and 58,376.25 is: 85,951.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,648 : 58,376.25 = 58,376.25 : x
  2. Step 2: Convert to fraction form
    39,648/58,376.25 = 58,376.25/x
  3. Step 3: Cross multiply
    39,648x = 58,376.25 × 58,376.25
  4. Step 4: Simplify right side
    39,648x = 3,407,786,564.06
  5. Step 5: Solve for x
    x = 3,407,786,564.06/39,648
  6. Step 6: Final answer
    x = 85,951.03

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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.