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Finding the Third Proportional to 13,668.19 and 22,318.88

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Solution

The third proportional to 13,668.19 and 22,318.88 is: 36,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,668.19 : 22,318.88 = 22,318.88 : x
  2. Step 2: Convert to fraction form
    13,668.19/22,318.88 = 22,318.88/x
  3. Step 3: Cross multiply
    13,668.19x = 22,318.88 × 22,318.88
  4. Step 4: Simplify right side
    13,668.19x = 498,132,181.27
  5. Step 5: Solve for x
    x = 498,132,181.27/13,668.19
  6. Step 6: Final answer
    x = 36,444.64

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.