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Finding the Third Proportional to 10,613.81 and 22,389.19

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Solution

The third proportional to 10,613.81 and 22,389.19 is: 47,228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.81 : 22,389.19 = 22,389.19 : x
  2. Step 2: Convert to fraction form
    10,613.81/22,389.19 = 22,389.19/x
  3. Step 3: Cross multiply
    10,613.81x = 22,389.19 × 22,389.19
  4. Step 4: Simplify right side
    10,613.81x = 501,275,716.91
  5. Step 5: Solve for x
    x = 501,275,716.91/10,613.81
  6. Step 6: Final answer
    x = 47,228.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.