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Finding the Third Proportional to 29,668 and 45,922

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Solution

The third proportional to 29,668 and 45,922 is: 71,080.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,668 : 45,922 = 45,922 : x
  2. Step 2: Convert to fraction form
    29,668/45,922 = 45,922/x
  3. Step 3: Cross multiply
    29,668x = 45,922 × 45,922
  4. Step 4: Simplify right side
    29,668x = 2,108,830,084
  5. Step 5: Solve for x
    x = 2,108,830,084/29,668
  6. Step 6: Final answer
    x = 71,080.97

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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.