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Finding the Third Proportional to 2,690.30 and 5,792.77

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Solution

The third proportional to 2,690.30 and 5,792.77 is: 12,473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.30 : 5,792.77 = 5,792.77 : x
  2. Step 2: Convert to fraction form
    2,690.30/5,792.77 = 5,792.77/x
  3. Step 3: Cross multiply
    2,690.30x = 5,792.77 × 5,792.77
  4. Step 4: Simplify right side
    2,690.30x = 33,556,133.59
  5. Step 5: Solve for x
    x = 33,556,133.59/2,690.30
  6. Step 6: Final answer
    x = 12,473.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.