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Finding the Third Proportional to 9,625.50 and 17,415

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Solution

The third proportional to 9,625.50 and 17,415 is: 31,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.50 : 17,415 = 17,415 : x
  2. Step 2: Convert to fraction form
    9,625.50/17,415 = 17,415/x
  3. Step 3: Cross multiply
    9,625.50x = 17,415 × 17,415
  4. Step 4: Simplify right side
    9,625.50x = 303,282,225
  5. Step 5: Solve for x
    x = 303,282,225/9,625.50
  6. Step 6: Final answer
    x = 31,508.20

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.