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Finding the Third Proportional to 1,033.19 and 1,574.06

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Solution

The third proportional to 1,033.19 and 1,574.06 is: 2,398.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.19 : 1,574.06 = 1,574.06 : x
  2. Step 2: Convert to fraction form
    1,033.19/1,574.06 = 1,574.06/x
  3. Step 3: Cross multiply
    1,033.19x = 1,574.06 × 1,574.06
  4. Step 4: Simplify right side
    1,033.19x = 2,477,672.75
  5. Step 5: Solve for x
    x = 2,477,672.75/1,033.19
  6. Step 6: Final answer
    x = 2,398.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.