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Finding the Third Proportional to 21,506.06 and 47,163.38

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Solution

The third proportional to 21,506.06 and 47,163.38 is: 103,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,506.06 : 47,163.38 = 47,163.38 : x
  2. Step 2: Convert to fraction form
    21,506.06/47,163.38 = 47,163.38/x
  3. Step 3: Cross multiply
    21,506.06x = 47,163.38 × 47,163.38
  4. Step 4: Simplify right side
    21,506.06x = 2,224,383,941.39
  5. Step 5: Solve for x
    x = 2,224,383,941.39/21,506.06
  6. Step 6: Final answer
    x = 103,430.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.