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Finding the Third Proportional to 30,853.50 and 45,874.50

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Solution

The third proportional to 30,853.50 and 45,874.50 is: 68,208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,853.50 : 45,874.50 = 45,874.50 : x
  2. Step 2: Convert to fraction form
    30,853.50/45,874.50 = 45,874.50/x
  3. Step 3: Cross multiply
    30,853.50x = 45,874.50 × 45,874.50
  4. Step 4: Simplify right side
    30,853.50x = 2,104,469,750.25
  5. Step 5: Solve for x
    x = 2,104,469,750.25/30,853.50
  6. Step 6: Final answer
    x = 68,208.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.