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Finding the Third Proportional to 19,641 and 28,062

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Solution

The third proportional to 19,641 and 28,062 is: 40,093.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641 : 28,062 = 28,062 : x
  2. Step 2: Convert to fraction form
    19,641/28,062 = 28,062/x
  3. Step 3: Cross multiply
    19,641x = 28,062 × 28,062
  4. Step 4: Simplify right side
    19,641x = 787,475,844
  5. Step 5: Solve for x
    x = 787,475,844/19,641
  6. Step 6: Final answer
    x = 40,093.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.