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Finding the Third Proportional to 13,397.63 and 20,233.13

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Solution

The third proportional to 13,397.63 and 20,233.13 is: 30,556.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,397.63 : 20,233.13 = 20,233.13 : x
  2. Step 2: Convert to fraction form
    13,397.63/20,233.13 = 20,233.13/x
  3. Step 3: Cross multiply
    13,397.63x = 20,233.13 × 20,233.13
  4. Step 4: Simplify right side
    13,397.63x = 409,379,347.27
  5. Step 5: Solve for x
    x = 409,379,347.27/13,397.63
  6. Step 6: Final answer
    x = 30,556.11

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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.