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Finding the Third Proportional to 18,312.19 and 27,463.22

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Solution

The third proportional to 18,312.19 and 27,463.22 is: 41,187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,312.19 : 27,463.22 = 27,463.22 : x
  2. Step 2: Convert to fraction form
    18,312.19/27,463.22 = 27,463.22/x
  3. Step 3: Cross multiply
    18,312.19x = 27,463.22 × 27,463.22
  4. Step 4: Simplify right side
    18,312.19x = 754,228,384.11
  5. Step 5: Solve for x
    x = 754,228,384.11/18,312.19
  6. Step 6: Final answer
    x = 41,187.24

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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.