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Finding the Third Proportional to 11,491.88 and 24,401.25

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Solution

The third proportional to 11,491.88 and 24,401.25 is: 51,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.88 : 24,401.25 = 24,401.25 : x
  2. Step 2: Convert to fraction form
    11,491.88/24,401.25 = 24,401.25/x
  3. Step 3: Cross multiply
    11,491.88x = 24,401.25 × 24,401.25
  4. Step 4: Simplify right side
    11,491.88x = 595,421,001.56
  5. Step 5: Solve for x
    x = 595,421,001.56/11,491.88
  6. Step 6: Final answer
    x = 51,812.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.