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Finding the Third Proportional to 31,639 and 67,369

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Solution

The third proportional to 31,639 and 67,369 is: 143,448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,639 : 67,369 = 67,369 : x
  2. Step 2: Convert to fraction form
    31,639/67,369 = 67,369/x
  3. Step 3: Cross multiply
    31,639x = 67,369 × 67,369
  4. Step 4: Simplify right side
    31,639x = 4,538,582,161
  5. Step 5: Solve for x
    x = 4,538,582,161/31,639
  6. Step 6: Final answer
    x = 143,448.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.