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Finding the Third Proportional to 14,692.22 and 31,594.22

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Solution

The third proportional to 14,692.22 and 31,594.22 is: 67,940.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.22 : 31,594.22 = 31,594.22 : x
  2. Step 2: Convert to fraction form
    14,692.22/31,594.22 = 31,594.22/x
  3. Step 3: Cross multiply
    14,692.22x = 31,594.22 × 31,594.22
  4. Step 4: Simplify right side
    14,692.22x = 998,194,658.42
  5. Step 5: Solve for x
    x = 998,194,658.42/14,692.22
  6. Step 6: Final answer
    x = 67,940.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.