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Finding the Third Proportional to 21,581.44 and 31,544.44

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Solution

The third proportional to 21,581.44 and 31,544.44 is: 46,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,581.44 : 31,544.44 = 31,544.44 : x
  2. Step 2: Convert to fraction form
    21,581.44/31,544.44 = 31,544.44/x
  3. Step 3: Cross multiply
    21,581.44x = 31,544.44 × 31,544.44
  4. Step 4: Simplify right side
    21,581.44x = 995,051,537.19
  5. Step 5: Solve for x
    x = 995,051,537.19/21,581.44
  6. Step 6: Final answer
    x = 46,106.82

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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.