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Finding the Third Proportional to 11,803 and 17,732

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Solution

The third proportional to 11,803 and 17,732 is: 26,639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803 : 17,732 = 17,732 : x
  2. Step 2: Convert to fraction form
    11,803/17,732 = 17,732/x
  3. Step 3: Cross multiply
    11,803x = 17,732 × 17,732
  4. Step 4: Simplify right side
    11,803x = 314,423,824
  5. Step 5: Solve for x
    x = 314,423,824/11,803
  6. Step 6: Final answer
    x = 26,639.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.