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Finding the Third Proportional to 2,012.50 and 2,553

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Solution

The third proportional to 2,012.50 and 2,553 is: 3,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.50 : 2,553 = 2,553 : x
  2. Step 2: Convert to fraction form
    2,012.50/2,553 = 2,553/x
  3. Step 3: Cross multiply
    2,012.50x = 2,553 × 2,553
  4. Step 4: Simplify right side
    2,012.50x = 6,517,809
  5. Step 5: Solve for x
    x = 6,517,809/2,012.50
  6. Step 6: Final answer
    x = 3,238.66

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.