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Finding the Third Proportional to 20,841.75 and 45,510.75

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Solution

The third proportional to 20,841.75 and 45,510.75 is: 99,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841.75 : 45,510.75 = 45,510.75 : x
  2. Step 2: Convert to fraction form
    20,841.75/45,510.75 = 45,510.75/x
  3. Step 3: Cross multiply
    20,841.75x = 45,510.75 × 45,510.75
  4. Step 4: Simplify right side
    20,841.75x = 2,071,228,365.56
  5. Step 5: Solve for x
    x = 2,071,228,365.56/20,841.75
  6. Step 6: Final answer
    x = 99,378.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.