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Finding the Third Proportional to 19,838 and 26,463

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Solution

The third proportional to 19,838 and 26,463 is: 35,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838 : 26,463 = 26,463 : x
  2. Step 2: Convert to fraction form
    19,838/26,463 = 26,463/x
  3. Step 3: Cross multiply
    19,838x = 26,463 × 26,463
  4. Step 4: Simplify right side
    19,838x = 700,290,369
  5. Step 5: Solve for x
    x = 700,290,369/19,838
  6. Step 6: Final answer
    x = 35,300.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.