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Finding the Third Proportional to 2,930.24 and 5,792.13

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Solution

The third proportional to 2,930.24 and 5,792.13 is: 11,449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.24 : 5,792.13 = 5,792.13 : x
  2. Step 2: Convert to fraction form
    2,930.24/5,792.13 = 5,792.13/x
  3. Step 3: Cross multiply
    2,930.24x = 5,792.13 × 5,792.13
  4. Step 4: Simplify right side
    2,930.24x = 33,548,802.52
  5. Step 5: Solve for x
    x = 33,548,802.52/2,930.24
  6. Step 6: Final answer
    x = 11,449.17

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.