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Finding the Third Proportional to 30,054 and 46,782

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Solution

The third proportional to 30,054 and 46,782 is: 72,820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,054 : 46,782 = 46,782 : x
  2. Step 2: Convert to fraction form
    30,054/46,782 = 46,782/x
  3. Step 3: Cross multiply
    30,054x = 46,782 × 46,782
  4. Step 4: Simplify right side
    30,054x = 2,188,555,524
  5. Step 5: Solve for x
    x = 2,188,555,524/30,054
  6. Step 6: Final answer
    x = 72,820.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.