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Finding the Third Proportional to 11,308.78 and 22,921.31

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Solution

The third proportional to 11,308.78 and 22,921.31 is: 46,458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.78 : 22,921.31 = 22,921.31 : x
  2. Step 2: Convert to fraction form
    11,308.78/22,921.31 = 22,921.31/x
  3. Step 3: Cross multiply
    11,308.78x = 22,921.31 × 22,921.31
  4. Step 4: Simplify right side
    11,308.78x = 525,386,566.72
  5. Step 5: Solve for x
    x = 525,386,566.72/11,308.78
  6. Step 6: Final answer
    x = 46,458.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.