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Finding the Third Proportional to 21,797.38 and 31,917.60

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Solution

The third proportional to 21,797.38 and 31,917.60 is: 46,736.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,797.38 : 31,917.60 = 31,917.60 : x
  2. Step 2: Convert to fraction form
    21,797.38/31,917.60 = 31,917.60/x
  3. Step 3: Cross multiply
    21,797.38x = 31,917.60 × 31,917.60
  4. Step 4: Simplify right side
    21,797.38x = 1,018,733,133.65
  5. Step 5: Solve for x
    x = 1,018,733,133.65/21,797.38
  6. Step 6: Final answer
    x = 46,736.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.