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Finding the Third Proportional to 10,762.88 and 23,401.13

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Solution

The third proportional to 10,762.88 and 23,401.13 is: 50,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.88 : 23,401.13 = 23,401.13 : x
  2. Step 2: Convert to fraction form
    10,762.88/23,401.13 = 23,401.13/x
  3. Step 3: Cross multiply
    10,762.88x = 23,401.13 × 23,401.13
  4. Step 4: Simplify right side
    10,762.88x = 547,612,651.27
  5. Step 5: Solve for x
    x = 547,612,651.27/10,762.88
  6. Step 6: Final answer
    x = 50,879.77

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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.