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Finding the Third Proportional to 47,856 and 68,501

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Solution

The third proportional to 47,856 and 68,501 is: 98,052.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,856 : 68,501 = 68,501 : x
  2. Step 2: Convert to fraction form
    47,856/68,501 = 68,501/x
  3. Step 3: Cross multiply
    47,856x = 68,501 × 68,501
  4. Step 4: Simplify right side
    47,856x = 4,692,387,001
  5. Step 5: Solve for x
    x = 4,692,387,001/47,856
  6. Step 6: Final answer
    x = 98,052.22

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Why These Related Problems?

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