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Finding the Third Proportional to 9,485.90 and 14,185.60

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Solution

The third proportional to 9,485.90 and 14,185.60 is: 21,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.90 : 14,185.60 = 14,185.60 : x
  2. Step 2: Convert to fraction form
    9,485.90/14,185.60 = 14,185.60/x
  3. Step 3: Cross multiply
    9,485.90x = 14,185.60 × 14,185.60
  4. Step 4: Simplify right side
    9,485.90x = 201,231,236.28
  5. Step 5: Solve for x
    x = 201,231,236.28/9,485.90
  6. Step 6: Final answer
    x = 21,213.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.