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Finding the Third Proportional to 9,405.56 and 14,062.36

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Solution

The third proportional to 9,405.56 and 14,062.36 is: 21,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.56 : 14,062.36 = 14,062.36 : x
  2. Step 2: Convert to fraction form
    9,405.56/14,062.36 = 14,062.36/x
  3. Step 3: Cross multiply
    9,405.56x = 14,062.36 × 14,062.36
  4. Step 4: Simplify right side
    9,405.56x = 197,749,951.19
  5. Step 5: Solve for x
    x = 197,749,951.19/9,405.56
  6. Step 6: Final answer
    x = 21,024.79

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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.