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Finding the Third Proportional to 12,543 and 28,029

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Solution

The third proportional to 12,543 and 28,029 is: 62,634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543 : 28,029 = 28,029 : x
  2. Step 2: Convert to fraction form
    12,543/28,029 = 28,029/x
  3. Step 3: Cross multiply
    12,543x = 28,029 × 28,029
  4. Step 4: Simplify right side
    12,543x = 785,624,841
  5. Step 5: Solve for x
    x = 785,624,841/12,543
  6. Step 6: Final answer
    x = 62,634.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.