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Finding the Third Proportional to 13,434 and 17,415

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Solution

The third proportional to 13,434 and 17,415 is: 22,575.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434 : 17,415 = 17,415 : x
  2. Step 2: Convert to fraction form
    13,434/17,415 = 17,415/x
  3. Step 3: Cross multiply
    13,434x = 17,415 × 17,415
  4. Step 4: Simplify right side
    13,434x = 303,282,225
  5. Step 5: Solve for x
    x = 303,282,225/13,434
  6. Step 6: Final answer
    x = 22,575.72

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.