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Finding the Third Proportional to 16,407 and 34,962

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Solution

The third proportional to 16,407 and 34,962 is: 74,501.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407 : 34,962 = 34,962 : x
  2. Step 2: Convert to fraction form
    16,407/34,962 = 34,962/x
  3. Step 3: Cross multiply
    16,407x = 34,962 × 34,962
  4. Step 4: Simplify right side
    16,407x = 1,222,341,444
  5. Step 5: Solve for x
    x = 1,222,341,444/16,407
  6. Step 6: Final answer
    x = 74,501.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.