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Finding the Third Proportional to 13,658.44 and 20,613.28

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Solution

The third proportional to 13,658.44 and 20,613.28 is: 31,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.44 : 20,613.28 = 20,613.28 : x
  2. Step 2: Convert to fraction form
    13,658.44/20,613.28 = 20,613.28/x
  3. Step 3: Cross multiply
    13,658.44x = 20,613.28 × 20,613.28
  4. Step 4: Simplify right side
    13,658.44x = 424,907,363.89
  5. Step 5: Solve for x
    x = 424,907,363.89/13,658.44
  6. Step 6: Final answer
    x = 31,109.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.