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Finding the Third Proportional to 16,209 and 34,949.25

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Solution

The third proportional to 16,209 and 34,949.25 is: 75,356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209 : 34,949.25 = 34,949.25 : x
  2. Step 2: Convert to fraction form
    16,209/34,949.25 = 34,949.25/x
  3. Step 3: Cross multiply
    16,209x = 34,949.25 × 34,949.25
  4. Step 4: Simplify right side
    16,209x = 1,221,450,075.56
  5. Step 5: Solve for x
    x = 1,221,450,075.56/16,209
  6. Step 6: Final answer
    x = 75,356.29

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