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Finding the Third Proportional to 4,657.75 and 10,145.75

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Solution

The third proportional to 4,657.75 and 10,145.75 is: 22,099.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.75 : 10,145.75 = 10,145.75 : x
  2. Step 2: Convert to fraction form
    4,657.75/10,145.75 = 10,145.75/x
  3. Step 3: Cross multiply
    4,657.75x = 10,145.75 × 10,145.75
  4. Step 4: Simplify right side
    4,657.75x = 102,936,243.06
  5. Step 5: Solve for x
    x = 102,936,243.06/4,657.75
  6. Step 6: Final answer
    x = 22,099.99

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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.