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Finding the Third Proportional to 2,994.75 and 7,075.13

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Solution

The third proportional to 2,994.75 and 7,075.13 is: 16,715.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.75 : 7,075.13 = 7,075.13 : x
  2. Step 2: Convert to fraction form
    2,994.75/7,075.13 = 7,075.13/x
  3. Step 3: Cross multiply
    2,994.75x = 7,075.13 × 7,075.13
  4. Step 4: Simplify right side
    2,994.75x = 50,057,393.77
  5. Step 5: Solve for x
    x = 50,057,393.77/2,994.75
  6. Step 6: Final answer
    x = 16,715.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.