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Finding the Third Proportional to 17,142 and 26,075

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Solution

The third proportional to 17,142 and 26,075 is: 39,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142 : 26,075 = 26,075 : x
  2. Step 2: Convert to fraction form
    17,142/26,075 = 26,075/x
  3. Step 3: Cross multiply
    17,142x = 26,075 × 26,075
  4. Step 4: Simplify right side
    17,142x = 679,905,625
  5. Step 5: Solve for x
    x = 679,905,625/17,142
  6. Step 6: Final answer
    x = 39,663.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.