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Finding the Third Proportional to 12,190.50 and 20,632.50

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Solution

The third proportional to 12,190.50 and 20,632.50 is: 34,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.50 : 20,632.50 = 20,632.50 : x
  2. Step 2: Convert to fraction form
    12,190.50/20,632.50 = 20,632.50/x
  3. Step 3: Cross multiply
    12,190.50x = 20,632.50 × 20,632.50
  4. Step 4: Simplify right side
    12,190.50x = 425,700,056.25
  5. Step 5: Solve for x
    x = 425,700,056.25/12,190.50
  6. Step 6: Final answer
    x = 34,920.64

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.