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Finding the Third Proportional to 11,395.75 and 17,492.75

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Solution

The third proportional to 11,395.75 and 17,492.75 is: 26,851.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,395.75 : 17,492.75 = 17,492.75 : x
  2. Step 2: Convert to fraction form
    11,395.75/17,492.75 = 17,492.75/x
  3. Step 3: Cross multiply
    11,395.75x = 17,492.75 × 17,492.75
  4. Step 4: Simplify right side
    11,395.75x = 305,996,302.56
  5. Step 5: Solve for x
    x = 305,996,302.56/11,395.75
  6. Step 6: Final answer
    x = 26,851.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.