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Finding the Third Proportional to 2,111.91 and 4,888.69

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Solution

The third proportional to 2,111.91 and 4,888.69 is: 11,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.91 : 4,888.69 = 4,888.69 : x
  2. Step 2: Convert to fraction form
    2,111.91/4,888.69 = 4,888.69/x
  3. Step 3: Cross multiply
    2,111.91x = 4,888.69 × 4,888.69
  4. Step 4: Simplify right side
    2,111.91x = 23,899,265.47
  5. Step 5: Solve for x
    x = 23,899,265.47/2,111.91
  6. Step 6: Final answer
    x = 11,316.44

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.