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Finding the Third Proportional to 21,755.25 and 47,710.69

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Solution

The third proportional to 21,755.25 and 47,710.69 is: 104,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,755.25 : 47,710.69 = 47,710.69 : x
  2. Step 2: Convert to fraction form
    21,755.25/47,710.69 = 47,710.69/x
  3. Step 3: Cross multiply
    21,755.25x = 47,710.69 × 47,710.69
  4. Step 4: Simplify right side
    21,755.25x = 2,276,309,701.72
  5. Step 5: Solve for x
    x = 2,276,309,701.72/21,755.25
  6. Step 6: Final answer
    x = 104,632.66

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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.