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Finding the Third Proportional to 46,361 and 65,491

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Solution

The third proportional to 46,361 and 65,491 is: 92,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,361 : 65,491 = 65,491 : x
  2. Step 2: Convert to fraction form
    46,361/65,491 = 65,491/x
  3. Step 3: Cross multiply
    46,361x = 65,491 × 65,491
  4. Step 4: Simplify right side
    46,361x = 4,289,071,081
  5. Step 5: Solve for x
    x = 4,289,071,081/46,361
  6. Step 6: Final answer
    x = 92,514.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.