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Finding the Third Proportional to 1,033.70 and 1,530.62

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Solution

The third proportional to 1,033.70 and 1,530.62 is: 2,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.70 : 1,530.62 = 1,530.62 : x
  2. Step 2: Convert to fraction form
    1,033.70/1,530.62 = 1,530.62/x
  3. Step 3: Cross multiply
    1,033.70x = 1,530.62 × 1,530.62
  4. Step 4: Simplify right side
    1,033.70x = 2,342,783.00
  5. Step 5: Solve for x
    x = 2,342,783.00/1,033.70
  6. Step 6: Final answer
    x = 2,266.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.