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Finding the Third Proportional to 22,819.50 and 31,927.50

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Solution

The third proportional to 22,819.50 and 31,927.50 is: 44,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,819.50 : 31,927.50 = 31,927.50 : x
  2. Step 2: Convert to fraction form
    22,819.50/31,927.50 = 31,927.50/x
  3. Step 3: Cross multiply
    22,819.50x = 31,927.50 × 31,927.50
  4. Step 4: Simplify right side
    22,819.50x = 1,019,365,256.25
  5. Step 5: Solve for x
    x = 1,019,365,256.25/22,819.50
  6. Step 6: Final answer
    x = 44,670.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.