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Finding the Third Proportional to 12,301.88 and 18,316.13

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Solution

The third proportional to 12,301.88 and 18,316.13 is: 27,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.88 : 18,316.13 = 18,316.13 : x
  2. Step 2: Convert to fraction form
    12,301.88/18,316.13 = 18,316.13/x
  3. Step 3: Cross multiply
    12,301.88x = 18,316.13 × 18,316.13
  4. Step 4: Simplify right side
    12,301.88x = 335,480,435.02
  5. Step 5: Solve for x
    x = 335,480,435.02/12,301.88
  6. Step 6: Final answer
    x = 27,270.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.