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Finding the Third Proportional to 46,824 and 68,484

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Solution

The third proportional to 46,824 and 68,484 is: 100,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,824 : 68,484 = 68,484 : x
  2. Step 2: Convert to fraction form
    46,824/68,484 = 68,484/x
  3. Step 3: Cross multiply
    46,824x = 68,484 × 68,484
  4. Step 4: Simplify right side
    46,824x = 4,690,058,256
  5. Step 5: Solve for x
    x = 4,690,058,256/46,824
  6. Step 6: Final answer
    x = 100,163.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.