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Finding the Third Proportional to 12,502 and 20,841

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Solution

The third proportional to 12,502 and 20,841 is: 34,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502 : 20,841 = 20,841 : x
  2. Step 2: Convert to fraction form
    12,502/20,841 = 20,841/x
  3. Step 3: Cross multiply
    12,502x = 20,841 × 20,841
  4. Step 4: Simplify right side
    12,502x = 434,347,281
  5. Step 5: Solve for x
    x = 434,347,281/12,502
  6. Step 6: Final answer
    x = 34,742.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.