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Finding the Third Proportional to 17,009 and 39,541

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Solution

The third proportional to 17,009 and 39,541 is: 91,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,009 : 39,541 = 39,541 : x
  2. Step 2: Convert to fraction form
    17,009/39,541 = 39,541/x
  3. Step 3: Cross multiply
    17,009x = 39,541 × 39,541
  4. Step 4: Simplify right side
    17,009x = 1,563,490,681
  5. Step 5: Solve for x
    x = 1,563,490,681/17,009
  6. Step 6: Final answer
    x = 91,921.38

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.