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Finding the Third Proportional to 9,485.86 and 14,176.27

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Solution

The third proportional to 9,485.86 and 14,176.27 is: 21,185.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.86 : 14,176.27 = 14,176.27 : x
  2. Step 2: Convert to fraction form
    9,485.86/14,176.27 = 14,176.27/x
  3. Step 3: Cross multiply
    9,485.86x = 14,176.27 × 14,176.27
  4. Step 4: Simplify right side
    9,485.86x = 200,966,507.07
  5. Step 5: Solve for x
    x = 200,966,507.07/9,485.86
  6. Step 6: Final answer
    x = 21,185.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.