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Finding the Third Proportional to 6,486.50 and 12,649

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Solution

The third proportional to 6,486.50 and 12,649 is: 24,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.50 : 12,649 = 12,649 : x
  2. Step 2: Convert to fraction form
    6,486.50/12,649 = 12,649/x
  3. Step 3: Cross multiply
    6,486.50x = 12,649 × 12,649
  4. Step 4: Simplify right side
    6,486.50x = 159,997,201
  5. Step 5: Solve for x
    x = 159,997,201/6,486.50
  6. Step 6: Final answer
    x = 24,666.18

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.