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Finding the Third Proportional to 15,786 and 27,684

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Solution

The third proportional to 15,786 and 27,684 is: 48,549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786 : 27,684 = 27,684 : x
  2. Step 2: Convert to fraction form
    15,786/27,684 = 27,684/x
  3. Step 3: Cross multiply
    15,786x = 27,684 × 27,684
  4. Step 4: Simplify right side
    15,786x = 766,403,856
  5. Step 5: Solve for x
    x = 766,403,856/15,786
  6. Step 6: Final answer
    x = 48,549.59

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.