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Finding the Third Proportional to 9,842.34 and 21,324.94

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Solution

The third proportional to 9,842.34 and 21,324.94 is: 46,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.34 : 21,324.94 = 21,324.94 : x
  2. Step 2: Convert to fraction form
    9,842.34/21,324.94 = 21,324.94/x
  3. Step 3: Cross multiply
    9,842.34x = 21,324.94 × 21,324.94
  4. Step 4: Simplify right side
    9,842.34x = 454,752,959.38
  5. Step 5: Solve for x
    x = 454,752,959.38/9,842.34
  6. Step 6: Final answer
    x = 46,203.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.