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Finding the Third Proportional to 21,075 and 24,927

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Solution

The third proportional to 21,075 and 24,927 is: 29,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,075 : 24,927 = 24,927 : x
  2. Step 2: Convert to fraction form
    21,075/24,927 = 24,927/x
  3. Step 3: Cross multiply
    21,075x = 24,927 × 24,927
  4. Step 4: Simplify right side
    21,075x = 621,355,329
  5. Step 5: Solve for x
    x = 621,355,329/21,075
  6. Step 6: Final answer
    x = 29,483.05

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.