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Finding the Third Proportional to 3,657 and 9,601.50

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Solution

The third proportional to 3,657 and 9,601.50 is: 25,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657 : 9,601.50 = 9,601.50 : x
  2. Step 2: Convert to fraction form
    3,657/9,601.50 = 9,601.50/x
  3. Step 3: Cross multiply
    3,657x = 9,601.50 × 9,601.50
  4. Step 4: Simplify right side
    3,657x = 92,188,802.25
  5. Step 5: Solve for x
    x = 92,188,802.25/3,657
  6. Step 6: Final answer
    x = 25,208.86

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.