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Finding the Third Proportional to 11,331.69 and 15,929.31

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Solution

The third proportional to 11,331.69 and 15,929.31 is: 22,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331.69 : 15,929.31 = 15,929.31 : x
  2. Step 2: Convert to fraction form
    11,331.69/15,929.31 = 15,929.31/x
  3. Step 3: Cross multiply
    11,331.69x = 15,929.31 × 15,929.31
  4. Step 4: Simplify right side
    11,331.69x = 253,742,996.72
  5. Step 5: Solve for x
    x = 253,742,996.72/11,331.69
  6. Step 6: Final answer
    x = 22,392.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.