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Finding the Third Proportional to 34,614 and 52,407

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Solution

The third proportional to 34,614 and 52,407 is: 79,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,614 : 52,407 = 52,407 : x
  2. Step 2: Convert to fraction form
    34,614/52,407 = 52,407/x
  3. Step 3: Cross multiply
    34,614x = 52,407 × 52,407
  4. Step 4: Simplify right side
    34,614x = 2,746,493,649
  5. Step 5: Solve for x
    x = 2,746,493,649/34,614
  6. Step 6: Final answer
    x = 79,346.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.