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Finding the Third Proportional to 13,088.25 and 17,033.63

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Solution

The third proportional to 13,088.25 and 17,033.63 is: 22,168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,088.25 : 17,033.63 = 17,033.63 : x
  2. Step 2: Convert to fraction form
    13,088.25/17,033.63 = 17,033.63/x
  3. Step 3: Cross multiply
    13,088.25x = 17,033.63 × 17,033.63
  4. Step 4: Simplify right side
    13,088.25x = 290,144,380.64
  5. Step 5: Solve for x
    x = 290,144,380.64/13,088.25
  6. Step 6: Final answer
    x = 22,168.31

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.