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Finding the Third Proportional to 19,728 and 28,858.50

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Solution

The third proportional to 19,728 and 28,858.50 is: 42,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728 : 28,858.50 = 28,858.50 : x
  2. Step 2: Convert to fraction form
    19,728/28,858.50 = 28,858.50/x
  3. Step 3: Cross multiply
    19,728x = 28,858.50 × 28,858.50
  4. Step 4: Simplify right side
    19,728x = 832,813,022.25
  5. Step 5: Solve for x
    x = 832,813,022.25/19,728
  6. Step 6: Final answer
    x = 42,214.77

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.