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Finding the Third Proportional to 47,980 and 67,276

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Solution

The third proportional to 47,980 and 67,276 is: 94,332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,980 : 67,276 = 67,276 : x
  2. Step 2: Convert to fraction form
    47,980/67,276 = 67,276/x
  3. Step 3: Cross multiply
    47,980x = 67,276 × 67,276
  4. Step 4: Simplify right side
    47,980x = 4,526,060,176
  5. Step 5: Solve for x
    x = 4,526,060,176/47,980
  6. Step 6: Final answer
    x = 94,332.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.