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Finding the Third Proportional to 22,021.88 and 34,004.81

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Solution

The third proportional to 22,021.88 and 34,004.81 is: 52,508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,021.88 : 34,004.81 = 34,004.81 : x
  2. Step 2: Convert to fraction form
    22,021.88/34,004.81 = 34,004.81/x
  3. Step 3: Cross multiply
    22,021.88x = 34,004.81 × 34,004.81
  4. Step 4: Simplify right side
    22,021.88x = 1,156,327,273.16
  5. Step 5: Solve for x
    x = 1,156,327,273.16/22,021.88
  6. Step 6: Final answer
    x = 52,508.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.