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Finding the Third Proportional to 31,466.75 and 68,411.75

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Solution

The third proportional to 31,466.75 and 68,411.75 is: 148,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,466.75 : 68,411.75 = 68,411.75 : x
  2. Step 2: Convert to fraction form
    31,466.75/68,411.75 = 68,411.75/x
  3. Step 3: Cross multiply
    31,466.75x = 68,411.75 × 68,411.75
  4. Step 4: Simplify right side
    31,466.75x = 4,680,167,538.06
  5. Step 5: Solve for x
    x = 4,680,167,538.06/31,466.75
  6. Step 6: Final answer
    x = 148,733.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.