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Finding the Third Proportional to 11,709 and 17,804.25

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Solution

The third proportional to 11,709 and 17,804.25 is: 27,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709 : 17,804.25 = 17,804.25 : x
  2. Step 2: Convert to fraction form
    11,709/17,804.25 = 17,804.25/x
  3. Step 3: Cross multiply
    11,709x = 17,804.25 × 17,804.25
  4. Step 4: Simplify right side
    11,709x = 316,991,318.06
  5. Step 5: Solve for x
    x = 316,991,318.06/11,709
  6. Step 6: Final answer
    x = 27,072.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.