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Finding the Third Proportional to 2,792.60 and 6,118.66

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Solution

The third proportional to 2,792.60 and 6,118.66 is: 13,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.60 : 6,118.66 = 6,118.66 : x
  2. Step 2: Convert to fraction form
    2,792.60/6,118.66 = 6,118.66/x
  3. Step 3: Cross multiply
    2,792.60x = 6,118.66 × 6,118.66
  4. Step 4: Simplify right side
    2,792.60x = 37,438,049.91
  5. Step 5: Solve for x
    x = 37,438,049.91/2,792.60
  6. Step 6: Final answer
    x = 13,406.16

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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.