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Finding the Third Proportional to 30,491 and 46,277

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Solution

The third proportional to 30,491 and 46,277 is: 70,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,491 : 46,277 = 46,277 : x
  2. Step 2: Convert to fraction form
    30,491/46,277 = 46,277/x
  3. Step 3: Cross multiply
    30,491x = 46,277 × 46,277
  4. Step 4: Simplify right side
    30,491x = 2,141,560,729
  5. Step 5: Solve for x
    x = 2,141,560,729/30,491
  6. Step 6: Final answer
    x = 70,235.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.