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Finding the Third Proportional to 4,381.13 and 6,788.06

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Solution

The third proportional to 4,381.13 and 6,788.06 is: 10,517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.13 : 6,788.06 = 6,788.06 : x
  2. Step 2: Convert to fraction form
    4,381.13/6,788.06 = 6,788.06/x
  3. Step 3: Cross multiply
    4,381.13x = 6,788.06 × 6,788.06
  4. Step 4: Simplify right side
    4,381.13x = 46,077,792.50
  5. Step 5: Solve for x
    x = 46,077,792.50/4,381.13
  6. Step 6: Final answer
    x = 10,517.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.