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Finding the Third Proportional to 1,989.56 and 2,907.56

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Solution

The third proportional to 1,989.56 and 2,907.56 is: 4,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.56 : 2,907.56 = 2,907.56 : x
  2. Step 2: Convert to fraction form
    1,989.56/2,907.56 = 2,907.56/x
  3. Step 3: Cross multiply
    1,989.56x = 2,907.56 × 2,907.56
  4. Step 4: Simplify right side
    1,989.56x = 8,453,919.69
  5. Step 5: Solve for x
    x = 8,453,919.69/1,989.56
  6. Step 6: Final answer
    x = 4,249.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.