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Finding the Third Proportional to 13,086 and 27,970

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Solution

The third proportional to 13,086 and 27,970 is: 59,783.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086 : 27,970 = 27,970 : x
  2. Step 2: Convert to fraction form
    13,086/27,970 = 27,970/x
  3. Step 3: Cross multiply
    13,086x = 27,970 × 27,970
  4. Step 4: Simplify right side
    13,086x = 782,320,900
  5. Step 5: Solve for x
    x = 782,320,900/13,086
  6. Step 6: Final answer
    x = 59,783.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.