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Finding the Third Proportional to 19,188 and 28,664

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Solution

The third proportional to 19,188 and 28,664 is: 42,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,188 : 28,664 = 28,664 : x
  2. Step 2: Convert to fraction form
    19,188/28,664 = 28,664/x
  3. Step 3: Cross multiply
    19,188x = 28,664 × 28,664
  4. Step 4: Simplify right side
    19,188x = 821,624,896
  5. Step 5: Solve for x
    x = 821,624,896/19,188
  6. Step 6: Final answer
    x = 42,819.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.