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Finding the Third Proportional to 1,577.81 and 3,322.03

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Solution

The third proportional to 1,577.81 and 3,322.03 is: 6,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.81 : 3,322.03 = 3,322.03 : x
  2. Step 2: Convert to fraction form
    1,577.81/3,322.03 = 3,322.03/x
  3. Step 3: Cross multiply
    1,577.81x = 3,322.03 × 3,322.03
  4. Step 4: Simplify right side
    1,577.81x = 11,035,891.63
  5. Step 5: Solve for x
    x = 11,035,891.63/1,577.81
  6. Step 6: Final answer
    x = 6,994.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.