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Finding the Third Proportional to 39,410 and 59,152

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Solution

The third proportional to 39,410 and 59,152 is: 88,783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,410 : 59,152 = 59,152 : x
  2. Step 2: Convert to fraction form
    39,410/59,152 = 59,152/x
  3. Step 3: Cross multiply
    39,410x = 59,152 × 59,152
  4. Step 4: Simplify right side
    39,410x = 3,498,959,104
  5. Step 5: Solve for x
    x = 3,498,959,104/39,410
  6. Step 6: Final answer
    x = 88,783.53

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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.