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Finding the Third Proportional to 46,492 and 69,626

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Solution

The third proportional to 46,492 and 69,626 is: 104,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,492 : 69,626 = 69,626 : x
  2. Step 2: Convert to fraction form
    46,492/69,626 = 69,626/x
  3. Step 3: Cross multiply
    46,492x = 69,626 × 69,626
  4. Step 4: Simplify right side
    46,492x = 4,847,779,876
  5. Step 5: Solve for x
    x = 4,847,779,876/46,492
  6. Step 6: Final answer
    x = 104,271.27

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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.