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Finding the Third Proportional to 47,228 and 68,046

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Solution

The third proportional to 47,228 and 68,046 is: 98,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,228 : 68,046 = 68,046 : x
  2. Step 2: Convert to fraction form
    47,228/68,046 = 68,046/x
  3. Step 3: Cross multiply
    47,228x = 68,046 × 68,046
  4. Step 4: Simplify right side
    47,228x = 4,630,258,116
  5. Step 5: Solve for x
    x = 4,630,258,116/47,228
  6. Step 6: Final answer
    x = 98,040.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.