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Finding the Third Proportional to 12,101.63 and 18,146.81

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Solution

The third proportional to 12,101.63 and 18,146.81 is: 27,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.63 : 18,146.81 = 18,146.81 : x
  2. Step 2: Convert to fraction form
    12,101.63/18,146.81 = 18,146.81/x
  3. Step 3: Cross multiply
    12,101.63x = 18,146.81 × 18,146.81
  4. Step 4: Simplify right side
    12,101.63x = 329,306,803.91
  5. Step 5: Solve for x
    x = 329,306,803.91/12,101.63
  6. Step 6: Final answer
    x = 27,211.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.