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Finding the Third Proportional to 12,405 and 26,853

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Solution

The third proportional to 12,405 and 26,853 is: 58,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405 : 26,853 = 26,853 : x
  2. Step 2: Convert to fraction form
    12,405/26,853 = 26,853/x
  3. Step 3: Cross multiply
    12,405x = 26,853 × 26,853
  4. Step 4: Simplify right side
    12,405x = 721,083,609
  5. Step 5: Solve for x
    x = 721,083,609/12,405
  6. Step 6: Final answer
    x = 58,128.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.