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Finding the Third Proportional to 14,107 and 31,556

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Solution

The third proportional to 14,107 and 31,556 is: 70,587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107 : 31,556 = 31,556 : x
  2. Step 2: Convert to fraction form
    14,107/31,556 = 31,556/x
  3. Step 3: Cross multiply
    14,107x = 31,556 × 31,556
  4. Step 4: Simplify right side
    14,107x = 995,781,136
  5. Step 5: Solve for x
    x = 995,781,136/14,107
  6. Step 6: Final answer
    x = 70,587.73

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.