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Finding the Third Proportional to 46,612 and 69,922

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Solution

The third proportional to 46,612 and 69,922 is: 104,889.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,612 : 69,922 = 69,922 : x
  2. Step 2: Convert to fraction form
    46,612/69,922 = 69,922/x
  3. Step 3: Cross multiply
    46,612x = 69,922 × 69,922
  4. Step 4: Simplify right side
    46,612x = 4,889,086,084
  5. Step 5: Solve for x
    x = 4,889,086,084/46,612
  6. Step 6: Final answer
    x = 104,889.00

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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.