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Finding the Third Proportional to 30,738 and 47,323

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Solution

The third proportional to 30,738 and 47,323 is: 72,856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,738 : 47,323 = 47,323 : x
  2. Step 2: Convert to fraction form
    30,738/47,323 = 47,323/x
  3. Step 3: Cross multiply
    30,738x = 47,323 × 47,323
  4. Step 4: Simplify right side
    30,738x = 2,239,466,329
  5. Step 5: Solve for x
    x = 2,239,466,329/30,738
  6. Step 6: Final answer
    x = 72,856.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.