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Finding the Third Proportional to 6,724 and 15,625

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Solution

The third proportional to 6,724 and 15,625 is: 36,308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724 : 15,625 = 15,625 : x
  2. Step 2: Convert to fraction form
    6,724/15,625 = 15,625/x
  3. Step 3: Cross multiply
    6,724x = 15,625 × 15,625
  4. Step 4: Simplify right side
    6,724x = 244,140,625
  5. Step 5: Solve for x
    x = 244,140,625/6,724
  6. Step 6: Final answer
    x = 36,308.84

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.