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Finding the Third Proportional to 35,412 and 49,630

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Solution

The third proportional to 35,412 and 49,630 is: 69,556.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,412 : 49,630 = 49,630 : x
  2. Step 2: Convert to fraction form
    35,412/49,630 = 49,630/x
  3. Step 3: Cross multiply
    35,412x = 49,630 × 49,630
  4. Step 4: Simplify right side
    35,412x = 2,463,136,900
  5. Step 5: Solve for x
    x = 2,463,136,900/35,412
  6. Step 6: Final answer
    x = 69,556.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.