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Finding the Third Proportional to 21,713.06 and 47,364.75

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Solution

The third proportional to 21,713.06 and 47,364.75 is: 103,321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,713.06 : 47,364.75 = 47,364.75 : x
  2. Step 2: Convert to fraction form
    21,713.06/47,364.75 = 47,364.75/x
  3. Step 3: Cross multiply
    21,713.06x = 47,364.75 × 47,364.75
  4. Step 4: Simplify right side
    21,713.06x = 2,243,419,542.56
  5. Step 5: Solve for x
    x = 2,243,419,542.56/21,713.06
  6. Step 6: Final answer
    x = 103,321.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.