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Finding the Third Proportional to 9,389.25 and 14,493.94

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Solution

The third proportional to 9,389.25 and 14,493.94 is: 22,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.25 : 14,493.94 = 14,493.94 : x
  2. Step 2: Convert to fraction form
    9,389.25/14,493.94 = 14,493.94/x
  3. Step 3: Cross multiply
    9,389.25x = 14,493.94 × 14,493.94
  4. Step 4: Simplify right side
    9,389.25x = 210,074,224.25
  5. Step 5: Solve for x
    x = 210,074,224.25/9,389.25
  6. Step 6: Final answer
    x = 22,373.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.