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Finding the Third Proportional to 15,075 and 22,161

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Solution

The third proportional to 15,075 and 22,161 is: 32,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,075 : 22,161 = 22,161 : x
  2. Step 2: Convert to fraction form
    15,075/22,161 = 22,161/x
  3. Step 3: Cross multiply
    15,075x = 22,161 × 22,161
  4. Step 4: Simplify right side
    15,075x = 491,109,921
  5. Step 5: Solve for x
    x = 491,109,921/15,075
  6. Step 6: Final answer
    x = 32,577.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.