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Finding the Third Proportional to 12,287 and 28,859

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Solution

The third proportional to 12,287 and 28,859 is: 67,782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287 : 28,859 = 28,859 : x
  2. Step 2: Convert to fraction form
    12,287/28,859 = 28,859/x
  3. Step 3: Cross multiply
    12,287x = 28,859 × 28,859
  4. Step 4: Simplify right side
    12,287x = 832,841,881
  5. Step 5: Solve for x
    x = 832,841,881/12,287
  6. Step 6: Final answer
    x = 67,782.36

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.