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Finding the Third Proportional to 10,794.52 and 22,971.09

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Solution

The third proportional to 10,794.52 and 22,971.09 is: 48,883.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.52 : 22,971.09 = 22,971.09 : x
  2. Step 2: Convert to fraction form
    10,794.52/22,971.09 = 22,971.09/x
  3. Step 3: Cross multiply
    10,794.52x = 22,971.09 × 22,971.09
  4. Step 4: Simplify right side
    10,794.52x = 527,671,148.07
  5. Step 5: Solve for x
    x = 527,671,148.07/10,794.52
  6. Step 6: Final answer
    x = 48,883.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.