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Finding the Third Proportional to 1,495 and 3,263

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Solution

The third proportional to 1,495 and 3,263 is: 7,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495 : 3,263 = 3,263 : x
  2. Step 2: Convert to fraction form
    1,495/3,263 = 3,263/x
  3. Step 3: Cross multiply
    1,495x = 3,263 × 3,263
  4. Step 4: Simplify right side
    1,495x = 10,647,169
  5. Step 5: Solve for x
    x = 10,647,169/1,495
  6. Step 6: Final answer
    x = 7,121.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.