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Finding the Third Proportional to 1,406 and 2,113.75

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Solution

The third proportional to 1,406 and 2,113.75 is: 3,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406 : 2,113.75 = 2,113.75 : x
  2. Step 2: Convert to fraction form
    1,406/2,113.75 = 2,113.75/x
  3. Step 3: Cross multiply
    1,406x = 2,113.75 × 2,113.75
  4. Step 4: Simplify right side
    1,406x = 4,467,939.06
  5. Step 5: Solve for x
    x = 4,467,939.06/1,406
  6. Step 6: Final answer
    x = 3,177.77

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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.