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Finding the Third Proportional to 11,950.88 and 25,461

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Solution

The third proportional to 11,950.88 and 25,461 is: 54,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950.88 : 25,461 = 25,461 : x
  2. Step 2: Convert to fraction form
    11,950.88/25,461 = 25,461/x
  3. Step 3: Cross multiply
    11,950.88x = 25,461 × 25,461
  4. Step 4: Simplify right side
    11,950.88x = 648,262,521
  5. Step 5: Solve for x
    x = 648,262,521/11,950.88
  6. Step 6: Final answer
    x = 54,243.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.