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Finding the Third Proportional to 17,164.36 and 26,241.20

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Solution

The third proportional to 17,164.36 and 26,241.20 is: 40,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.36 : 26,241.20 = 26,241.20 : x
  2. Step 2: Convert to fraction form
    17,164.36/26,241.20 = 26,241.20/x
  3. Step 3: Cross multiply
    17,164.36x = 26,241.20 × 26,241.20
  4. Step 4: Simplify right side
    17,164.36x = 688,600,411.51
  5. Step 5: Solve for x
    x = 688,600,411.51/17,164.36
  6. Step 6: Final answer
    x = 40,118.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.