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Finding the Third Proportional to 31,600 and 46,100

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Solution

The third proportional to 31,600 and 46,100 is: 67,253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,600 : 46,100 = 46,100 : x
  2. Step 2: Convert to fraction form
    31,600/46,100 = 46,100/x
  3. Step 3: Cross multiply
    31,600x = 46,100 × 46,100
  4. Step 4: Simplify right side
    31,600x = 2,125,210,000
  5. Step 5: Solve for x
    x = 2,125,210,000/31,600
  6. Step 6: Final answer
    x = 67,253.48

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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.