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Finding the Third Proportional to 5,076.75 and 6,928.13

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Solution

The third proportional to 5,076.75 and 6,928.13 is: 9,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.75 : 6,928.13 = 6,928.13 : x
  2. Step 2: Convert to fraction form
    5,076.75/6,928.13 = 6,928.13/x
  3. Step 3: Cross multiply
    5,076.75x = 6,928.13 × 6,928.13
  4. Step 4: Simplify right side
    5,076.75x = 47,998,916.02
  5. Step 5: Solve for x
    x = 47,998,916.02/5,076.75
  6. Step 6: Final answer
    x = 9,454.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.