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Finding the Third Proportional to 12,841 and 28,133

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Solution

The third proportional to 12,841 and 28,133 is: 61,635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841 : 28,133 = 28,133 : x
  2. Step 2: Convert to fraction form
    12,841/28,133 = 28,133/x
  3. Step 3: Cross multiply
    12,841x = 28,133 × 28,133
  4. Step 4: Simplify right side
    12,841x = 791,465,689
  5. Step 5: Solve for x
    x = 791,465,689/12,841
  6. Step 6: Final answer
    x = 61,635.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.