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Finding the Third Proportional to 3,813.75 and 5,060.81

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Solution

The third proportional to 3,813.75 and 5,060.81 is: 6,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.75 : 5,060.81 = 5,060.81 : x
  2. Step 2: Convert to fraction form
    3,813.75/5,060.81 = 5,060.81/x
  3. Step 3: Cross multiply
    3,813.75x = 5,060.81 × 5,060.81
  4. Step 4: Simplify right side
    3,813.75x = 25,611,823.16
  5. Step 5: Solve for x
    x = 25,611,823.16/3,813.75
  6. Step 6: Final answer
    x = 6,715.65

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Why These Related Problems?

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