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Finding the Third Proportional to 21,898.50 and 49,643.25

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Solution

The third proportional to 21,898.50 and 49,643.25 is: 112,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,898.50 : 49,643.25 = 49,643.25 : x
  2. Step 2: Convert to fraction form
    21,898.50/49,643.25 = 49,643.25/x
  3. Step 3: Cross multiply
    21,898.50x = 49,643.25 × 49,643.25
  4. Step 4: Simplify right side
    21,898.50x = 2,464,452,270.56
  5. Step 5: Solve for x
    x = 2,464,452,270.56/21,898.50
  6. Step 6: Final answer
    x = 112,539.78

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.