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Finding the Third Proportional to 21,540.94 and 31,491.28

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Solution

The third proportional to 21,540.94 and 31,491.28 is: 46,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,540.94 : 31,491.28 = 31,491.28 : x
  2. Step 2: Convert to fraction form
    21,540.94/31,491.28 = 31,491.28/x
  3. Step 3: Cross multiply
    21,540.94x = 31,491.28 × 31,491.28
  4. Step 4: Simplify right side
    21,540.94x = 991,700,794.77
  5. Step 5: Solve for x
    x = 991,700,794.77/21,540.94
  6. Step 6: Final answer
    x = 46,037.96

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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.