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Finding the Third Proportional to 45,051.75 and 57,019.50

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Solution

The third proportional to 45,051.75 and 57,019.50 is: 72,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,051.75 : 57,019.50 = 57,019.50 : x
  2. Step 2: Convert to fraction form
    45,051.75/57,019.50 = 57,019.50/x
  3. Step 3: Cross multiply
    45,051.75x = 57,019.50 × 57,019.50
  4. Step 4: Simplify right side
    45,051.75x = 3,251,223,380.25
  5. Step 5: Solve for x
    x = 3,251,223,380.25/45,051.75
  6. Step 6: Final answer
    x = 72,166.42

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.