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Finding the Third Proportional to 39,410 and 59,154

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Solution

The third proportional to 39,410 and 59,154 is: 88,789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,410 : 59,154 = 59,154 : x
  2. Step 2: Convert to fraction form
    39,410/59,154 = 59,154/x
  3. Step 3: Cross multiply
    39,410x = 59,154 × 59,154
  4. Step 4: Simplify right side
    39,410x = 3,499,195,716
  5. Step 5: Solve for x
    x = 3,499,195,716/39,410
  6. Step 6: Final answer
    x = 88,789.54

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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.