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Finding the Third Proportional to 11,474.16 and 17,730.28

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Solution

The third proportional to 11,474.16 and 17,730.28 is: 27,397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.16 : 17,730.28 = 17,730.28 : x
  2. Step 2: Convert to fraction form
    11,474.16/17,730.28 = 17,730.28/x
  3. Step 3: Cross multiply
    11,474.16x = 17,730.28 × 17,730.28
  4. Step 4: Simplify right side
    11,474.16x = 314,362,873.20
  5. Step 5: Solve for x
    x = 314,362,873.20/11,474.16
  6. Step 6: Final answer
    x = 27,397.47

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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.