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Finding the Third Proportional to 31,060 and 67,037

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Solution

The third proportional to 31,060 and 67,037 is: 144,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,060 : 67,037 = 67,037 : x
  2. Step 2: Convert to fraction form
    31,060/67,037 = 67,037/x
  3. Step 3: Cross multiply
    31,060x = 67,037 × 67,037
  4. Step 4: Simplify right side
    31,060x = 4,493,959,369
  5. Step 5: Solve for x
    x = 4,493,959,369/31,060
  6. Step 6: Final answer
    x = 144,686.39

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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.