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Finding the Third Proportional to 1,022.63 and 1,533.09

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Solution

The third proportional to 1,022.63 and 1,533.09 is: 2,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.63 : 1,533.09 = 1,533.09 : x
  2. Step 2: Convert to fraction form
    1,022.63/1,533.09 = 1,533.09/x
  3. Step 3: Cross multiply
    1,022.63x = 1,533.09 × 1,533.09
  4. Step 4: Simplify right side
    1,022.63x = 2,350,376.45
  5. Step 5: Solve for x
    x = 2,350,376.45/1,022.63
  6. Step 6: Final answer
    x = 2,298.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.