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Finding the Third Proportional to 2,376.84 and 5,192.86

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Solution

The third proportional to 2,376.84 and 5,192.86 is: 11,345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.84 : 5,192.86 = 5,192.86 : x
  2. Step 2: Convert to fraction form
    2,376.84/5,192.86 = 5,192.86/x
  3. Step 3: Cross multiply
    2,376.84x = 5,192.86 × 5,192.86
  4. Step 4: Simplify right side
    2,376.84x = 26,965,788.49
  5. Step 5: Solve for x
    x = 26,965,788.49/2,376.84
  6. Step 6: Final answer
    x = 11,345.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.