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Finding the Third Proportional to 12,324 and 27,106

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Solution

The third proportional to 12,324 and 27,106 is: 59,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324 : 27,106 = 27,106 : x
  2. Step 2: Convert to fraction form
    12,324/27,106 = 27,106/x
  3. Step 3: Cross multiply
    12,324x = 27,106 × 27,106
  4. Step 4: Simplify right side
    12,324x = 734,735,236
  5. Step 5: Solve for x
    x = 734,735,236/12,324
  6. Step 6: Final answer
    x = 59,618.24

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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.