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Finding the Third Proportional to 5,368.78 and 8,269.59

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Solution

The third proportional to 5,368.78 and 8,269.59 is: 12,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.78 : 8,269.59 = 8,269.59 : x
  2. Step 2: Convert to fraction form
    5,368.78/8,269.59 = 8,269.59/x
  3. Step 3: Cross multiply
    5,368.78x = 8,269.59 × 8,269.59
  4. Step 4: Simplify right side
    5,368.78x = 68,386,180.79
  5. Step 5: Solve for x
    x = 68,386,180.79/5,368.78
  6. Step 6: Final answer
    x = 12,737.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.