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Finding the Third Proportional to 10,309 and 22,075

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Solution

The third proportional to 10,309 and 22,075 is: 47,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309 : 22,075 = 22,075 : x
  2. Step 2: Convert to fraction form
    10,309/22,075 = 22,075/x
  3. Step 3: Cross multiply
    10,309x = 22,075 × 22,075
  4. Step 4: Simplify right side
    10,309x = 487,305,625
  5. Step 5: Solve for x
    x = 487,305,625/10,309
  6. Step 6: Final answer
    x = 47,269.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.