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Finding the Third Proportional to 2,746 and 4,236.50

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Solution

The third proportional to 2,746 and 4,236.50 is: 6,536.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746 : 4,236.50 = 4,236.50 : x
  2. Step 2: Convert to fraction form
    2,746/4,236.50 = 4,236.50/x
  3. Step 3: Cross multiply
    2,746x = 4,236.50 × 4,236.50
  4. Step 4: Simplify right side
    2,746x = 17,947,932.25
  5. Step 5: Solve for x
    x = 17,947,932.25/2,746
  6. Step 6: Final answer
    x = 6,536.03

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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.