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Finding the Third Proportional to 21,216.94 and 31,827.94

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Solution

The third proportional to 21,216.94 and 31,827.94 is: 47,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,216.94 : 31,827.94 = 31,827.94 : x
  2. Step 2: Convert to fraction form
    21,216.94/31,827.94 = 31,827.94/x
  3. Step 3: Cross multiply
    21,216.94x = 31,827.94 × 31,827.94
  4. Step 4: Simplify right side
    21,216.94x = 1,013,017,605.50
  5. Step 5: Solve for x
    x = 1,013,017,605.50/21,216.94
  6. Step 6: Final answer
    x = 47,745.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.