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Finding the Third Proportional to 6,636 and 12,232.50

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Solution

The third proportional to 6,636 and 12,232.50 is: 22,548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,636 : 12,232.50 = 12,232.50 : x
  2. Step 2: Convert to fraction form
    6,636/12,232.50 = 12,232.50/x
  3. Step 3: Cross multiply
    6,636x = 12,232.50 × 12,232.50
  4. Step 4: Simplify right side
    6,636x = 149,634,056.25
  5. Step 5: Solve for x
    x = 149,634,056.25/6,636
  6. Step 6: Final answer
    x = 22,548.83

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.