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Finding the Third Proportional to 31,000 and 45,196

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Solution

The third proportional to 31,000 and 45,196 is: 65,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000 : 45,196 = 45,196 : x
  2. Step 2: Convert to fraction form
    31,000/45,196 = 45,196/x
  3. Step 3: Cross multiply
    31,000x = 45,196 × 45,196
  4. Step 4: Simplify right side
    31,000x = 2,042,678,416
  5. Step 5: Solve for x
    x = 2,042,678,416/31,000
  6. Step 6: Final answer
    x = 65,892.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.