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Finding the Third Proportional to 46,512 and 69,663

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Solution

The third proportional to 46,512 and 69,663 is: 104,337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,512 : 69,663 = 69,663 : x
  2. Step 2: Convert to fraction form
    46,512/69,663 = 69,663/x
  3. Step 3: Cross multiply
    46,512x = 69,663 × 69,663
  4. Step 4: Simplify right side
    46,512x = 4,852,933,569
  5. Step 5: Solve for x
    x = 4,852,933,569/46,512
  6. Step 6: Final answer
    x = 104,337.24

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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.