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Finding the Third Proportional to 46,408 and 69,824

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Solution

The third proportional to 46,408 and 69,824 is: 105,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,408 : 69,824 = 69,824 : x
  2. Step 2: Convert to fraction form
    46,408/69,824 = 69,824/x
  3. Step 3: Cross multiply
    46,408x = 69,824 × 69,824
  4. Step 4: Simplify right side
    46,408x = 4,875,390,976
  5. Step 5: Solve for x
    x = 4,875,390,976/46,408
  6. Step 6: Final answer
    x = 105,054.97

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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.