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Finding the Third Proportional to 46,399 and 70,521

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Solution

The third proportional to 46,399 and 70,521 is: 107,183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,399 : 70,521 = 70,521 : x
  2. Step 2: Convert to fraction form
    46,399/70,521 = 70,521/x
  3. Step 3: Cross multiply
    46,399x = 70,521 × 70,521
  4. Step 4: Simplify right side
    46,399x = 4,973,211,441
  5. Step 5: Solve for x
    x = 4,973,211,441/46,399
  6. Step 6: Final answer
    x = 107,183.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.