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Finding the Third Proportional to 8,601.19 and 20,713.22

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Solution

The third proportional to 8,601.19 and 20,713.22 is: 49,881.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.19 : 20,713.22 = 20,713.22 : x
  2. Step 2: Convert to fraction form
    8,601.19/20,713.22 = 20,713.22/x
  3. Step 3: Cross multiply
    8,601.19x = 20,713.22 × 20,713.22
  4. Step 4: Simplify right side
    8,601.19x = 429,037,430.99
  5. Step 5: Solve for x
    x = 429,037,430.99/8,601.19
  6. Step 6: Final answer
    x = 49,881.19

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.