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Finding the Third Proportional to 11,316.38 and 14,785.88

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Solution

The third proportional to 11,316.38 and 14,785.88 is: 19,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316.38 : 14,785.88 = 14,785.88 : x
  2. Step 2: Convert to fraction form
    11,316.38/14,785.88 = 14,785.88/x
  3. Step 3: Cross multiply
    11,316.38x = 14,785.88 × 14,785.88
  4. Step 4: Simplify right side
    11,316.38x = 218,622,099.52
  5. Step 5: Solve for x
    x = 218,622,099.52/11,316.38
  6. Step 6: Final answer
    x = 19,319.09

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.