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Finding the Third Proportional to 47,590 and 66,929

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Solution

The third proportional to 47,590 and 66,929 is: 94,126.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,590 : 66,929 = 66,929 : x
  2. Step 2: Convert to fraction form
    47,590/66,929 = 66,929/x
  3. Step 3: Cross multiply
    47,590x = 66,929 × 66,929
  4. Step 4: Simplify right side
    47,590x = 4,479,491,041
  5. Step 5: Solve for x
    x = 4,479,491,041/47,590
  6. Step 6: Final answer
    x = 94,126.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.