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Finding the Third Proportional to 32,670 and 47,682

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Solution

The third proportional to 32,670 and 47,682 is: 69,592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,670 : 47,682 = 47,682 : x
  2. Step 2: Convert to fraction form
    32,670/47,682 = 47,682/x
  3. Step 3: Cross multiply
    32,670x = 47,682 × 47,682
  4. Step 4: Simplify right side
    32,670x = 2,273,573,124
  5. Step 5: Solve for x
    x = 2,273,573,124/32,670
  6. Step 6: Final answer
    x = 69,592.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.