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Finding the Third Proportional to 9,390.38 and 14,056.31

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Solution

The third proportional to 9,390.38 and 14,056.31 is: 21,040.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.38 : 14,056.31 = 14,056.31 : x
  2. Step 2: Convert to fraction form
    9,390.38/14,056.31 = 14,056.31/x
  3. Step 3: Cross multiply
    9,390.38x = 14,056.31 × 14,056.31
  4. Step 4: Simplify right side
    9,390.38x = 197,579,921.10
  5. Step 5: Solve for x
    x = 197,579,921.10/9,390.38
  6. Step 6: Final answer
    x = 21,040.68

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