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Finding the Third Proportional to 30,165 and 62,023.50

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Solution

The third proportional to 30,165 and 62,023.50 is: 127,529.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,165 : 62,023.50 = 62,023.50 : x
  2. Step 2: Convert to fraction form
    30,165/62,023.50 = 62,023.50/x
  3. Step 3: Cross multiply
    30,165x = 62,023.50 × 62,023.50
  4. Step 4: Simplify right side
    30,165x = 3,846,914,552.25
  5. Step 5: Solve for x
    x = 3,846,914,552.25/30,165
  6. Step 6: Final answer
    x = 127,529.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.