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Finding the Third Proportional to 45,521 and 67,929

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Solution

The third proportional to 45,521 and 67,929 is: 101,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,521 : 67,929 = 67,929 : x
  2. Step 2: Convert to fraction form
    45,521/67,929 = 67,929/x
  3. Step 3: Cross multiply
    45,521x = 67,929 × 67,929
  4. Step 4: Simplify right side
    45,521x = 4,614,349,041
  5. Step 5: Solve for x
    x = 4,614,349,041/45,521
  6. Step 6: Final answer
    x = 101,367.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.