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Finding the Third Proportional to 39,120.50 and 58,868

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Solution

The third proportional to 39,120.50 and 58,868 is: 88,583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,120.50 : 58,868 = 58,868 : x
  2. Step 2: Convert to fraction form
    39,120.50/58,868 = 58,868/x
  3. Step 3: Cross multiply
    39,120.50x = 58,868 × 58,868
  4. Step 4: Simplify right side
    39,120.50x = 3,465,441,424
  5. Step 5: Solve for x
    x = 3,465,441,424/39,120.50
  6. Step 6: Final answer
    x = 88,583.77

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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.