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Finding the Third Proportional to 4,010.34 and 9,301.92

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Solution

The third proportional to 4,010.34 and 9,301.92 is: 21,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010.34 : 9,301.92 = 9,301.92 : x
  2. Step 2: Convert to fraction form
    4,010.34/9,301.92 = 9,301.92/x
  3. Step 3: Cross multiply
    4,010.34x = 9,301.92 × 9,301.92
  4. Step 4: Simplify right side
    4,010.34x = 86,525,750.57
  5. Step 5: Solve for x
    x = 86,525,750.57/4,010.34
  6. Step 6: Final answer
    x = 21,575.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.