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Finding the Third Proportional to 44,591 and 59,444.50

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Solution

The third proportional to 44,591 and 59,444.50 is: 79,245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,591 : 59,444.50 = 59,444.50 : x
  2. Step 2: Convert to fraction form
    44,591/59,444.50 = 59,444.50/x
  3. Step 3: Cross multiply
    44,591x = 59,444.50 × 59,444.50
  4. Step 4: Simplify right side
    44,591x = 3,533,648,580.25
  5. Step 5: Solve for x
    x = 3,533,648,580.25/44,591
  6. Step 6: Final answer
    x = 79,245.78

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.