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Finding the Third Proportional to 13,393.69 and 15,823.69

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Solution

The third proportional to 13,393.69 and 15,823.69 is: 18,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,393.69 : 15,823.69 = 15,823.69 : x
  2. Step 2: Convert to fraction form
    13,393.69/15,823.69 = 15,823.69/x
  3. Step 3: Cross multiply
    13,393.69x = 15,823.69 × 15,823.69
  4. Step 4: Simplify right side
    13,393.69x = 250,389,086.10
  5. Step 5: Solve for x
    x = 250,389,086.10/13,393.69
  6. Step 6: Final answer
    x = 18,694.56

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.