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Finding the Third Proportional to 18,309 and 27,463.88

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Solution

The third proportional to 18,309 and 27,463.88 is: 41,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,309 : 27,463.88 = 27,463.88 : x
  2. Step 2: Convert to fraction form
    18,309/27,463.88 = 27,463.88/x
  3. Step 3: Cross multiply
    18,309x = 27,463.88 × 27,463.88
  4. Step 4: Simplify right side
    18,309x = 754,264,430.02
  5. Step 5: Solve for x
    x = 754,264,430.02/18,309
  6. Step 6: Final answer
    x = 41,196.38

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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.