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Finding the Third Proportional to 12,986 and 27,590

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Solution

The third proportional to 12,986 and 27,590 is: 58,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986 : 27,590 = 27,590 : x
  2. Step 2: Convert to fraction form
    12,986/27,590 = 27,590/x
  3. Step 3: Cross multiply
    12,986x = 27,590 × 27,590
  4. Step 4: Simplify right side
    12,986x = 761,208,100
  5. Step 5: Solve for x
    x = 761,208,100/12,986
  6. Step 6: Final answer
    x = 58,617.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.