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Finding the Third Proportional to 28,614 and 44,305.50

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Solution

The third proportional to 28,614 and 44,305.50 is: 68,601.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,614 : 44,305.50 = 44,305.50 : x
  2. Step 2: Convert to fraction form
    28,614/44,305.50 = 44,305.50/x
  3. Step 3: Cross multiply
    28,614x = 44,305.50 × 44,305.50
  4. Step 4: Simplify right side
    28,614x = 1,962,977,330.25
  5. Step 5: Solve for x
    x = 1,962,977,330.25/28,614
  6. Step 6: Final answer
    x = 68,601.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.