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Finding the Third Proportional to 8,420.06 and 12,259.69

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Solution

The third proportional to 8,420.06 and 12,259.69 is: 17,850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.06 : 12,259.69 = 12,259.69 : x
  2. Step 2: Convert to fraction form
    8,420.06/12,259.69 = 12,259.69/x
  3. Step 3: Cross multiply
    8,420.06x = 12,259.69 × 12,259.69
  4. Step 4: Simplify right side
    8,420.06x = 150,299,937.60
  5. Step 5: Solve for x
    x = 150,299,937.60/8,420.06
  6. Step 6: Final answer
    x = 17,850.22

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.