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Finding the Third Proportional to 21,199.50 and 31,151.25

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Solution

The third proportional to 21,199.50 and 31,151.25 is: 45,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,199.50 : 31,151.25 = 31,151.25 : x
  2. Step 2: Convert to fraction form
    21,199.50/31,151.25 = 31,151.25/x
  3. Step 3: Cross multiply
    21,199.50x = 31,151.25 × 31,151.25
  4. Step 4: Simplify right side
    21,199.50x = 970,400,376.56
  5. Step 5: Solve for x
    x = 970,400,376.56/21,199.50
  6. Step 6: Final answer
    x = 45,774.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.