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Finding the Third Proportional to 12,321 and 27,102

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Solution

The third proportional to 12,321 and 27,102 is: 59,615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,321 : 27,102 = 27,102 : x
  2. Step 2: Convert to fraction form
    12,321/27,102 = 27,102/x
  3. Step 3: Cross multiply
    12,321x = 27,102 × 27,102
  4. Step 4: Simplify right side
    12,321x = 734,518,404
  5. Step 5: Solve for x
    x = 734,518,404/12,321
  6. Step 6: Final answer
    x = 59,615.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.