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Finding the Third Proportional to 14,415 and 31,199

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Solution

The third proportional to 14,415 and 31,199 is: 67,525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415 : 31,199 = 31,199 : x
  2. Step 2: Convert to fraction form
    14,415/31,199 = 31,199/x
  3. Step 3: Cross multiply
    14,415x = 31,199 × 31,199
  4. Step 4: Simplify right side
    14,415x = 973,377,601
  5. Step 5: Solve for x
    x = 973,377,601/14,415
  6. Step 6: Final answer
    x = 67,525.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.