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Finding the Third Proportional to 16,039 and 34,989.50

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Solution

The third proportional to 16,039 and 34,989.50 is: 76,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,039 : 34,989.50 = 34,989.50 : x
  2. Step 2: Convert to fraction form
    16,039/34,989.50 = 34,989.50/x
  3. Step 3: Cross multiply
    16,039x = 34,989.50 × 34,989.50
  4. Step 4: Simplify right side
    16,039x = 1,224,265,110.25
  5. Step 5: Solve for x
    x = 1,224,265,110.25/16,039
  6. Step 6: Final answer
    x = 76,330.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.