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Finding the Third Proportional to 11,706.50 and 25,357

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Solution

The third proportional to 11,706.50 and 25,357 is: 54,924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.50 : 25,357 = 25,357 : x
  2. Step 2: Convert to fraction form
    11,706.50/25,357 = 25,357/x
  3. Step 3: Cross multiply
    11,706.50x = 25,357 × 25,357
  4. Step 4: Simplify right side
    11,706.50x = 642,977,449
  5. Step 5: Solve for x
    x = 642,977,449/11,706.50
  6. Step 6: Final answer
    x = 54,924.82

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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.