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Finding the Third Proportional to 11,480.06 and 17,742.38

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Solution

The third proportional to 11,480.06 and 17,742.38 is: 27,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480.06 : 17,742.38 = 17,742.38 : x
  2. Step 2: Convert to fraction form
    11,480.06/17,742.38 = 17,742.38/x
  3. Step 3: Cross multiply
    11,480.06x = 17,742.38 × 17,742.38
  4. Step 4: Simplify right side
    11,480.06x = 314,791,870.64
  5. Step 5: Solve for x
    x = 314,791,870.64/11,480.06
  6. Step 6: Final answer
    x = 27,420.75

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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.