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Finding the Third Proportional to 11,169 and 24,075

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Solution

The third proportional to 11,169 and 24,075 is: 51,894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,169 : 24,075 = 24,075 : x
  2. Step 2: Convert to fraction form
    11,169/24,075 = 24,075/x
  3. Step 3: Cross multiply
    11,169x = 24,075 × 24,075
  4. Step 4: Simplify right side
    11,169x = 579,605,625
  5. Step 5: Solve for x
    x = 579,605,625/11,169
  6. Step 6: Final answer
    x = 51,894.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.