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Finding the Third Proportional to 6,183 and 12,487.50

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Solution

The third proportional to 6,183 and 12,487.50 is: 25,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183 : 12,487.50 = 12,487.50 : x
  2. Step 2: Convert to fraction form
    6,183/12,487.50 = 12,487.50/x
  3. Step 3: Cross multiply
    6,183x = 12,487.50 × 12,487.50
  4. Step 4: Simplify right side
    6,183x = 155,937,656.25
  5. Step 5: Solve for x
    x = 155,937,656.25/6,183
  6. Step 6: Final answer
    x = 25,220.39

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.