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Finding the Third Proportional to 5,377.01 and 11,792.78

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Solution

The third proportional to 5,377.01 and 11,792.78 is: 25,863.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.01 : 11,792.78 = 11,792.78 : x
  2. Step 2: Convert to fraction form
    5,377.01/11,792.78 = 11,792.78/x
  3. Step 3: Cross multiply
    5,377.01x = 11,792.78 × 11,792.78
  4. Step 4: Simplify right side
    5,377.01x = 139,069,597.48
  5. Step 5: Solve for x
    x = 139,069,597.48/5,377.01
  6. Step 6: Final answer
    x = 25,863.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.