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Finding the Third Proportional to 11,475.11 and 17,145.74

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Solution

The third proportional to 11,475.11 and 17,145.74 is: 25,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.11 : 17,145.74 = 17,145.74 : x
  2. Step 2: Convert to fraction form
    11,475.11/17,145.74 = 17,145.74/x
  3. Step 3: Cross multiply
    11,475.11x = 17,145.74 × 17,145.74
  4. Step 4: Simplify right side
    11,475.11x = 293,976,341.21
  5. Step 5: Solve for x
    x = 293,976,341.21/11,475.11
  6. Step 6: Final answer
    x = 25,618.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.