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Finding the Third Proportional to 31,750.13 and 67,874.25

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Solution

The third proportional to 31,750.13 and 67,874.25 is: 145,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,750.13 : 67,874.25 = 67,874.25 : x
  2. Step 2: Convert to fraction form
    31,750.13/67,874.25 = 67,874.25/x
  3. Step 3: Cross multiply
    31,750.13x = 67,874.25 × 67,874.25
  4. Step 4: Simplify right side
    31,750.13x = 4,606,913,813.06
  5. Step 5: Solve for x
    x = 4,606,913,813.06/31,750.13
  6. Step 6: Final answer
    x = 145,099.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.