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Finding the Third Proportional to 11,512.50 and 25,445

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Solution

The third proportional to 11,512.50 and 25,445 is: 56,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.50 : 25,445 = 25,445 : x
  2. Step 2: Convert to fraction form
    11,512.50/25,445 = 25,445/x
  3. Step 3: Cross multiply
    11,512.50x = 25,445 × 25,445
  4. Step 4: Simplify right side
    11,512.50x = 647,448,025
  5. Step 5: Solve for x
    x = 647,448,025/11,512.50
  6. Step 6: Final answer
    x = 56,238.70

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.