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Finding the Third Proportional to 1,033.17 and 1,586.67

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Solution

The third proportional to 1,033.17 and 1,586.67 is: 2,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.17 : 1,586.67 = 1,586.67 : x
  2. Step 2: Convert to fraction form
    1,033.17/1,586.67 = 1,586.67/x
  3. Step 3: Cross multiply
    1,033.17x = 1,586.67 × 1,586.67
  4. Step 4: Simplify right side
    1,033.17x = 2,517,527.64
  5. Step 5: Solve for x
    x = 2,517,527.64/1,033.17
  6. Step 6: Final answer
    x = 2,436.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.