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Finding the Third Proportional to 47,848 and 68,492

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Solution

The third proportional to 47,848 and 68,492 is: 98,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,848 : 68,492 = 68,492 : x
  2. Step 2: Convert to fraction form
    47,848/68,492 = 68,492/x
  3. Step 3: Cross multiply
    47,848x = 68,492 × 68,492
  4. Step 4: Simplify right side
    47,848x = 4,691,154,064
  5. Step 5: Solve for x
    x = 4,691,154,064/47,848
  6. Step 6: Final answer
    x = 98,042.85

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.