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Finding the Third Proportional to 30,250.97 and 45,323.30

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Solution

The third proportional to 30,250.97 and 45,323.30 is: 67,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,250.97 : 45,323.30 = 45,323.30 : x
  2. Step 2: Convert to fraction form
    30,250.97/45,323.30 = 45,323.30/x
  3. Step 3: Cross multiply
    30,250.97x = 45,323.30 × 45,323.30
  4. Step 4: Simplify right side
    30,250.97x = 2,054,201,239.62
  5. Step 5: Solve for x
    x = 2,054,201,239.62/30,250.97
  6. Step 6: Final answer
    x = 67,905.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.