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Finding the Third Proportional to 29,627 and 70,834

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Solution

The third proportional to 29,627 and 70,834 is: 169,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,627 : 70,834 = 70,834 : x
  2. Step 2: Convert to fraction form
    29,627/70,834 = 70,834/x
  3. Step 3: Cross multiply
    29,627x = 70,834 × 70,834
  4. Step 4: Simplify right side
    29,627x = 5,017,455,556
  5. Step 5: Solve for x
    x = 5,017,455,556/29,627
  6. Step 6: Final answer
    x = 169,354.16

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.