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Finding the Third Proportional to 14,962 and 31,544

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Solution

The third proportional to 14,962 and 31,544 is: 66,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,962 : 31,544 = 31,544 : x
  2. Step 2: Convert to fraction form
    14,962/31,544 = 31,544/x
  3. Step 3: Cross multiply
    14,962x = 31,544 × 31,544
  4. Step 4: Simplify right side
    14,962x = 995,023,936
  5. Step 5: Solve for x
    x = 995,023,936/14,962
  6. Step 6: Final answer
    x = 66,503.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.