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Finding the Third Proportional to 17,853 and 26,415

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Solution

The third proportional to 17,853 and 26,415 is: 39,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853 : 26,415 = 26,415 : x
  2. Step 2: Convert to fraction form
    17,853/26,415 = 26,415/x
  3. Step 3: Cross multiply
    17,853x = 26,415 × 26,415
  4. Step 4: Simplify right side
    17,853x = 697,752,225
  5. Step 5: Solve for x
    x = 697,752,225/17,853
  6. Step 6: Final answer
    x = 39,083.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.