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Finding the Third Proportional to 9,158.25 and 13,913.25

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Solution

The third proportional to 9,158.25 and 13,913.25 is: 21,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.25 : 13,913.25 = 13,913.25 : x
  2. Step 2: Convert to fraction form
    9,158.25/13,913.25 = 13,913.25/x
  3. Step 3: Cross multiply
    9,158.25x = 13,913.25 × 13,913.25
  4. Step 4: Simplify right side
    9,158.25x = 193,578,525.56
  5. Step 5: Solve for x
    x = 193,578,525.56/9,158.25
  6. Step 6: Final answer
    x = 21,137.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.