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Finding the Third Proportional to 30,874.50 and 42,525

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Solution

The third proportional to 30,874.50 and 42,525 is: 58,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.50 : 42,525 = 42,525 : x
  2. Step 2: Convert to fraction form
    30,874.50/42,525 = 42,525/x
  3. Step 3: Cross multiply
    30,874.50x = 42,525 × 42,525
  4. Step 4: Simplify right side
    30,874.50x = 1,808,375,625
  5. Step 5: Solve for x
    x = 1,808,375,625/30,874.50
  6. Step 6: Final answer
    x = 58,571.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.