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Finding the Third Proportional to 30,050 and 43,525.50

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Solution

The third proportional to 30,050 and 43,525.50 is: 63,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,050 : 43,525.50 = 43,525.50 : x
  2. Step 2: Convert to fraction form
    30,050/43,525.50 = 43,525.50/x
  3. Step 3: Cross multiply
    30,050x = 43,525.50 × 43,525.50
  4. Step 4: Simplify right side
    30,050x = 1,894,469,150.25
  5. Step 5: Solve for x
    x = 1,894,469,150.25/30,050
  6. Step 6: Final answer
    x = 63,043.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.