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Finding the Third Proportional to 31,672 and 66,832

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Solution

The third proportional to 31,672 and 66,832 is: 141,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,672 : 66,832 = 66,832 : x
  2. Step 2: Convert to fraction form
    31,672/66,832 = 66,832/x
  3. Step 3: Cross multiply
    31,672x = 66,832 × 66,832
  4. Step 4: Simplify right side
    31,672x = 4,466,516,224
  5. Step 5: Solve for x
    x = 4,466,516,224/31,672
  6. Step 6: Final answer
    x = 141,024.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.