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Finding the Third Proportional to 2,330.86 and 5,071.36

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Solution

The third proportional to 2,330.86 and 5,071.36 is: 11,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.86 : 5,071.36 = 5,071.36 : x
  2. Step 2: Convert to fraction form
    2,330.86/5,071.36 = 5,071.36/x
  3. Step 3: Cross multiply
    2,330.86x = 5,071.36 × 5,071.36
  4. Step 4: Simplify right side
    2,330.86x = 25,718,685.91
  5. Step 5: Solve for x
    x = 25,718,685.91/2,330.86
  6. Step 6: Final answer
    x = 11,033.99

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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.