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Finding the Third Proportional to 13,777.59 and 18,316.13

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Solution

The third proportional to 13,777.59 and 18,316.13 is: 24,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.59 : 18,316.13 = 18,316.13 : x
  2. Step 2: Convert to fraction form
    13,777.59/18,316.13 = 18,316.13/x
  3. Step 3: Cross multiply
    13,777.59x = 18,316.13 × 18,316.13
  4. Step 4: Simplify right side
    13,777.59x = 335,480,435.02
  5. Step 5: Solve for x
    x = 335,480,435.02/13,777.59
  6. Step 6: Final answer
    x = 24,349.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.