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Finding the Third Proportional to 32,672 and 47,685

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Solution

The third proportional to 32,672 and 47,685 is: 69,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,672 : 47,685 = 47,685 : x
  2. Step 2: Convert to fraction form
    32,672/47,685 = 47,685/x
  3. Step 3: Cross multiply
    32,672x = 47,685 × 47,685
  4. Step 4: Simplify right side
    32,672x = 2,273,859,225
  5. Step 5: Solve for x
    x = 2,273,859,225/32,672
  6. Step 6: Final answer
    x = 69,596.57

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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.