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Finding the Third Proportional to 14,673 and 31,685

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Solution

The third proportional to 14,673 and 31,685 is: 68,420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,673 : 31,685 = 31,685 : x
  2. Step 2: Convert to fraction form
    14,673/31,685 = 31,685/x
  3. Step 3: Cross multiply
    14,673x = 31,685 × 31,685
  4. Step 4: Simplify right side
    14,673x = 1,003,939,225
  5. Step 5: Solve for x
    x = 1,003,939,225/14,673
  6. Step 6: Final answer
    x = 68,420.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.