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Finding the Third Proportional to 21,478.31 and 47,191.31

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Solution

The third proportional to 21,478.31 and 47,191.31 is: 103,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.31 : 47,191.31 = 47,191.31 : x
  2. Step 2: Convert to fraction form
    21,478.31/47,191.31 = 47,191.31/x
  3. Step 3: Cross multiply
    21,478.31x = 47,191.31 × 47,191.31
  4. Step 4: Simplify right side
    21,478.31x = 2,227,019,975.47
  5. Step 5: Solve for x
    x = 2,227,019,975.47/21,478.31
  6. Step 6: Final answer
    x = 103,686.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.