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Finding the Third Proportional to 13,254.26 and 17,420.70

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Solution

The third proportional to 13,254.26 and 17,420.70 is: 22,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,254.26 : 17,420.70 = 17,420.70 : x
  2. Step 2: Convert to fraction form
    13,254.26/17,420.70 = 17,420.70/x
  3. Step 3: Cross multiply
    13,254.26x = 17,420.70 × 17,420.70
  4. Step 4: Simplify right side
    13,254.26x = 303,480,625.17
  5. Step 5: Solve for x
    x = 303,480,625.17/13,254.26
  6. Step 6: Final answer
    x = 22,896.84

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.