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Finding the Third Proportional to 34,642 and 53,744

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Solution

The third proportional to 34,642 and 53,744 is: 83,379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,642 : 53,744 = 53,744 : x
  2. Step 2: Convert to fraction form
    34,642/53,744 = 53,744/x
  3. Step 3: Cross multiply
    34,642x = 53,744 × 53,744
  4. Step 4: Simplify right side
    34,642x = 2,888,417,536
  5. Step 5: Solve for x
    x = 2,888,417,536/34,642
  6. Step 6: Final answer
    x = 83,379.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.