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Finding the Third Proportional to 44,509.50 and 57,800.25

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Solution

The third proportional to 44,509.50 and 57,800.25 is: 75,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,509.50 : 57,800.25 = 57,800.25 : x
  2. Step 2: Convert to fraction form
    44,509.50/57,800.25 = 57,800.25/x
  3. Step 3: Cross multiply
    44,509.50x = 57,800.25 × 57,800.25
  4. Step 4: Simplify right side
    44,509.50x = 3,340,868,900.06
  5. Step 5: Solve for x
    x = 3,340,868,900.06/44,509.50
  6. Step 6: Final answer
    x = 75,059.68

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.