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Finding the Third Proportional to 38,871.75 and 58,295.81

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Solution

The third proportional to 38,871.75 and 58,295.81 is: 87,426.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,871.75 : 58,295.81 = 58,295.81 : x
  2. Step 2: Convert to fraction form
    38,871.75/58,295.81 = 58,295.81/x
  3. Step 3: Cross multiply
    38,871.75x = 58,295.81 × 58,295.81
  4. Step 4: Simplify right side
    38,871.75x = 3,398,401,755.04
  5. Step 5: Solve for x
    x = 3,398,401,755.04/38,871.75
  6. Step 6: Final answer
    x = 87,426.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.