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Finding the Third Proportional to 9,395.47 and 13,785.61

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Solution

The third proportional to 9,395.47 and 13,785.61 is: 20,227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.47 : 13,785.61 = 13,785.61 : x
  2. Step 2: Convert to fraction form
    9,395.47/13,785.61 = 13,785.61/x
  3. Step 3: Cross multiply
    9,395.47x = 13,785.61 × 13,785.61
  4. Step 4: Simplify right side
    9,395.47x = 190,043,025.84
  5. Step 5: Solve for x
    x = 190,043,025.84/9,395.47
  6. Step 6: Final answer
    x = 20,227.09

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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.