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Finding the Third Proportional to 11,972.50 and 25,574

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Solution

The third proportional to 11,972.50 and 25,574 is: 54,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.50 : 25,574 = 25,574 : x
  2. Step 2: Convert to fraction form
    11,972.50/25,574 = 25,574/x
  3. Step 3: Cross multiply
    11,972.50x = 25,574 × 25,574
  4. Step 4: Simplify right side
    11,972.50x = 654,029,476
  5. Step 5: Solve for x
    x = 654,029,476/11,972.50
  6. Step 6: Final answer
    x = 54,627.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.