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Finding the Third Proportional to 7,564.13 and 20,322.75

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Solution

The third proportional to 7,564.13 and 20,322.75 is: 54,601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.13 : 20,322.75 = 20,322.75 : x
  2. Step 2: Convert to fraction form
    7,564.13/20,322.75 = 20,322.75/x
  3. Step 3: Cross multiply
    7,564.13x = 20,322.75 × 20,322.75
  4. Step 4: Simplify right side
    7,564.13x = 413,014,167.56
  5. Step 5: Solve for x
    x = 413,014,167.56/7,564.13
  6. Step 6: Final answer
    x = 54,601.71

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.