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Finding the Third Proportional to 21,568.78 and 47,174.06

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Solution

The third proportional to 21,568.78 and 47,174.06 is: 103,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568.78 : 47,174.06 = 47,174.06 : x
  2. Step 2: Convert to fraction form
    21,568.78/47,174.06 = 47,174.06/x
  3. Step 3: Cross multiply
    21,568.78x = 47,174.06 × 47,174.06
  4. Step 4: Simplify right side
    21,568.78x = 2,225,392,172.75
  5. Step 5: Solve for x
    x = 2,225,392,172.75/21,568.78
  6. Step 6: Final answer
    x = 103,176.54

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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.