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Finding the Third Proportional to 20,428 and 32,099.50

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Solution

The third proportional to 20,428 and 32,099.50 is: 50,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,428 : 32,099.50 = 32,099.50 : x
  2. Step 2: Convert to fraction form
    20,428/32,099.50 = 32,099.50/x
  3. Step 3: Cross multiply
    20,428x = 32,099.50 × 32,099.50
  4. Step 4: Simplify right side
    20,428x = 1,030,377,900.25
  5. Step 5: Solve for x
    x = 1,030,377,900.25/20,428
  6. Step 6: Final answer
    x = 50,439.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.