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Finding the Third Proportional to 21,870.50 and 52,489.25

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Solution

The third proportional to 21,870.50 and 52,489.25 is: 125,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,870.50 : 52,489.25 = 52,489.25 : x
  2. Step 2: Convert to fraction form
    21,870.50/52,489.25 = 52,489.25/x
  3. Step 3: Cross multiply
    21,870.50x = 52,489.25 × 52,489.25
  4. Step 4: Simplify right side
    21,870.50x = 2,755,121,365.56
  5. Step 5: Solve for x
    x = 2,755,121,365.56/21,870.50
  6. Step 6: Final answer
    x = 125,974.32

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.