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Finding the Third Proportional to 9,009 and 13,476.38

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Solution

The third proportional to 9,009 and 13,476.38 is: 20,159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,009 : 13,476.38 = 13,476.38 : x
  2. Step 2: Convert to fraction form
    9,009/13,476.38 = 13,476.38/x
  3. Step 3: Cross multiply
    9,009x = 13,476.38 × 13,476.38
  4. Step 4: Simplify right side
    9,009x = 181,612,683.14
  5. Step 5: Solve for x
    x = 181,612,683.14/9,009
  6. Step 6: Final answer
    x = 20,159.03

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Why These Related Problems?

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