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Finding the Third Proportional to 17,042.75 and 26,159.25

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Solution

The third proportional to 17,042.75 and 26,159.25 is: 40,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,042.75 : 26,159.25 = 26,159.25 : x
  2. Step 2: Convert to fraction form
    17,042.75/26,159.25 = 26,159.25/x
  3. Step 3: Cross multiply
    17,042.75x = 26,159.25 × 26,159.25
  4. Step 4: Simplify right side
    17,042.75x = 684,306,360.56
  5. Step 5: Solve for x
    x = 684,306,360.56/17,042.75
  6. Step 6: Final answer
    x = 40,152.34

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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.