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Finding the Third Proportional to 10,613.81 and 23,073.19

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Solution

The third proportional to 10,613.81 and 23,073.19 is: 50,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.81 : 23,073.19 = 23,073.19 : x
  2. Step 2: Convert to fraction form
    10,613.81/23,073.19 = 23,073.19/x
  3. Step 3: Cross multiply
    10,613.81x = 23,073.19 × 23,073.19
  4. Step 4: Simplify right side
    10,613.81x = 532,371,981.41
  5. Step 5: Solve for x
    x = 532,371,981.41/10,613.81
  6. Step 6: Final answer
    x = 50,158.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.