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Finding the Third Proportional to 9,785.81 and 14,369.91

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Solution

The third proportional to 9,785.81 and 14,369.91 is: 21,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.81 : 14,369.91 = 14,369.91 : x
  2. Step 2: Convert to fraction form
    9,785.81/14,369.91 = 14,369.91/x
  3. Step 3: Cross multiply
    9,785.81x = 14,369.91 × 14,369.91
  4. Step 4: Simplify right side
    9,785.81x = 206,494,205.63
  5. Step 5: Solve for x
    x = 206,494,205.63/9,785.81
  6. Step 6: Final answer
    x = 21,101.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.