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Finding the Third Proportional to 4,903.88 and 11,095.31

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Solution

The third proportional to 4,903.88 and 11,095.31 is: 25,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.88 : 11,095.31 = 11,095.31 : x
  2. Step 2: Convert to fraction form
    4,903.88/11,095.31 = 11,095.31/x
  3. Step 3: Cross multiply
    4,903.88x = 11,095.31 × 11,095.31
  4. Step 4: Simplify right side
    4,903.88x = 123,105,959.47
  5. Step 5: Solve for x
    x = 123,105,959.47/4,903.88
  6. Step 6: Final answer
    x = 25,103.81

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.