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Finding the Third Proportional to 2,700 and 6,250

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Solution

The third proportional to 2,700 and 6,250 is: 14,467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700 : 6,250 = 6,250 : x
  2. Step 2: Convert to fraction form
    2,700/6,250 = 6,250/x
  3. Step 3: Cross multiply
    2,700x = 6,250 × 6,250
  4. Step 4: Simplify right side
    2,700x = 39,062,500
  5. Step 5: Solve for x
    x = 39,062,500/2,700
  6. Step 6: Final answer
    x = 14,467.59

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.