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Finding the Third Proportional to 1,034 and 2,152

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Solution

The third proportional to 1,034 and 2,152 is: 4,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034 : 2,152 = 2,152 : x
  2. Step 2: Convert to fraction form
    1,034/2,152 = 2,152/x
  3. Step 3: Cross multiply
    1,034x = 2,152 × 2,152
  4. Step 4: Simplify right side
    1,034x = 4,631,104
  5. Step 5: Solve for x
    x = 4,631,104/1,034
  6. Step 6: Final answer
    x = 4,478.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.