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Finding the Third Proportional to 34,670 and 47,379

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Solution

The third proportional to 34,670 and 47,379 is: 64,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,670 : 47,379 = 47,379 : x
  2. Step 2: Convert to fraction form
    34,670/47,379 = 47,379/x
  3. Step 3: Cross multiply
    34,670x = 47,379 × 47,379
  4. Step 4: Simplify right side
    34,670x = 2,244,769,641
  5. Step 5: Solve for x
    x = 2,244,769,641/34,670
  6. Step 6: Final answer
    x = 64,746.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.