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Finding the Third Proportional to 17,639 and 27,369

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Solution

The third proportional to 17,639 and 27,369 is: 42,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,639 : 27,369 = 27,369 : x
  2. Step 2: Convert to fraction form
    17,639/27,369 = 27,369/x
  3. Step 3: Cross multiply
    17,639x = 27,369 × 27,369
  4. Step 4: Simplify right side
    17,639x = 749,062,161
  5. Step 5: Solve for x
    x = 749,062,161/17,639
  6. Step 6: Final answer
    x = 42,466.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.