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Finding the Third Proportional to 20,123.44 and 31,916.53

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Solution

The third proportional to 20,123.44 and 31,916.53 is: 50,620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123.44 : 31,916.53 = 31,916.53 : x
  2. Step 2: Convert to fraction form
    20,123.44/31,916.53 = 31,916.53/x
  3. Step 3: Cross multiply
    20,123.44x = 31,916.53 × 31,916.53
  4. Step 4: Simplify right side
    20,123.44x = 1,018,664,967.03
  5. Step 5: Solve for x
    x = 1,018,664,967.03/20,123.44
  6. Step 6: Final answer
    x = 50,620.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.