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Finding the Third Proportional to 38,808 and 58,152

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Solution

The third proportional to 38,808 and 58,152 is: 87,138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,808 : 58,152 = 58,152 : x
  2. Step 2: Convert to fraction form
    38,808/58,152 = 58,152/x
  3. Step 3: Cross multiply
    38,808x = 58,152 × 58,152
  4. Step 4: Simplify right side
    38,808x = 3,381,655,104
  5. Step 5: Solve for x
    x = 3,381,655,104/38,808
  6. Step 6: Final answer
    x = 87,138.09

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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.