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Finding the Third Proportional to 39,512 and 59,119

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Solution

The third proportional to 39,512 and 59,119 is: 88,455.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,512 : 59,119 = 59,119 : x
  2. Step 2: Convert to fraction form
    39,512/59,119 = 59,119/x
  3. Step 3: Cross multiply
    39,512x = 59,119 × 59,119
  4. Step 4: Simplify right side
    39,512x = 3,495,056,161
  5. Step 5: Solve for x
    x = 3,495,056,161/39,512
  6. Step 6: Final answer
    x = 88,455.56

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Why These Related Problems?

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