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Finding the Third Proportional to 19,542 and 28,662

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Solution

The third proportional to 19,542 and 28,662 is: 42,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,542 : 28,662 = 28,662 : x
  2. Step 2: Convert to fraction form
    19,542/28,662 = 28,662/x
  3. Step 3: Cross multiply
    19,542x = 28,662 × 28,662
  4. Step 4: Simplify right side
    19,542x = 821,510,244
  5. Step 5: Solve for x
    x = 821,510,244/19,542
  6. Step 6: Final answer
    x = 42,038.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.