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Finding the Third Proportional to 30,216 and 47,116

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Solution

The third proportional to 30,216 and 47,116 is: 73,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,216 : 47,116 = 47,116 : x
  2. Step 2: Convert to fraction form
    30,216/47,116 = 47,116/x
  3. Step 3: Cross multiply
    30,216x = 47,116 × 47,116
  4. Step 4: Simplify right side
    30,216x = 2,219,917,456
  5. Step 5: Solve for x
    x = 2,219,917,456/30,216
  6. Step 6: Final answer
    x = 73,468.28

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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.