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Finding the Third Proportional to 9,282.38 and 14,389.31

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Solution

The third proportional to 9,282.38 and 14,389.31 is: 22,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.38 : 14,389.31 = 14,389.31 : x
  2. Step 2: Convert to fraction form
    9,282.38/14,389.31 = 14,389.31/x
  3. Step 3: Cross multiply
    9,282.38x = 14,389.31 × 14,389.31
  4. Step 4: Simplify right side
    9,282.38x = 207,052,314.22
  5. Step 5: Solve for x
    x = 207,052,314.22/9,282.38
  6. Step 6: Final answer
    x = 22,305.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.