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Finding the Third Proportional to 12,071 and 28,197

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Solution

The third proportional to 12,071 and 28,197 is: 65,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071 : 28,197 = 28,197 : x
  2. Step 2: Convert to fraction form
    12,071/28,197 = 28,197/x
  3. Step 3: Cross multiply
    12,071x = 28,197 × 28,197
  4. Step 4: Simplify right side
    12,071x = 795,070,809
  5. Step 5: Solve for x
    x = 795,070,809/12,071
  6. Step 6: Final answer
    x = 65,866.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.