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Finding the Third Proportional to 30,311 and 65,868.50

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Solution

The third proportional to 30,311 and 65,868.50 is: 143,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311 : 65,868.50 = 65,868.50 : x
  2. Step 2: Convert to fraction form
    30,311/65,868.50 = 65,868.50/x
  3. Step 3: Cross multiply
    30,311x = 65,868.50 × 65,868.50
  4. Step 4: Simplify right side
    30,311x = 4,338,659,292.25
  5. Step 5: Solve for x
    x = 4,338,659,292.25/30,311
  6. Step 6: Final answer
    x = 143,138.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.