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Finding the Third Proportional to 19,854 and 43,659

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Solution

The third proportional to 19,854 and 43,659 is: 96,006.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854 : 43,659 = 43,659 : x
  2. Step 2: Convert to fraction form
    19,854/43,659 = 43,659/x
  3. Step 3: Cross multiply
    19,854x = 43,659 × 43,659
  4. Step 4: Simplify right side
    19,854x = 1,906,108,281
  5. Step 5: Solve for x
    x = 1,906,108,281/19,854
  6. Step 6: Final answer
    x = 96,006.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.