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Finding the Third Proportional to 9,433.13 and 13,196.25

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Solution

The third proportional to 9,433.13 and 13,196.25 is: 18,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.13 : 13,196.25 = 13,196.25 : x
  2. Step 2: Convert to fraction form
    9,433.13/13,196.25 = 13,196.25/x
  3. Step 3: Cross multiply
    9,433.13x = 13,196.25 × 13,196.25
  4. Step 4: Simplify right side
    9,433.13x = 174,141,014.06
  5. Step 5: Solve for x
    x = 174,141,014.06/9,433.13
  6. Step 6: Final answer
    x = 18,460.59

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.