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Finding the Third Proportional to 18,140.63 and 27,145.13

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Solution

The third proportional to 18,140.63 and 27,145.13 is: 40,619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,140.63 : 27,145.13 = 27,145.13 : x
  2. Step 2: Convert to fraction form
    18,140.63/27,145.13 = 27,145.13/x
  3. Step 3: Cross multiply
    18,140.63x = 27,145.13 × 27,145.13
  4. Step 4: Simplify right side
    18,140.63x = 736,857,811.27
  5. Step 5: Solve for x
    x = 736,857,811.27/18,140.63
  6. Step 6: Final answer
    x = 40,619.21

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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.