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Finding the Third Proportional to 47,820 and 68,298

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Solution

The third proportional to 47,820 and 68,298 is: 97,545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,820 : 68,298 = 68,298 : x
  2. Step 2: Convert to fraction form
    47,820/68,298 = 68,298/x
  3. Step 3: Cross multiply
    47,820x = 68,298 × 68,298
  4. Step 4: Simplify right side
    47,820x = 4,664,616,804
  5. Step 5: Solve for x
    x = 4,664,616,804/47,820
  6. Step 6: Final answer
    x = 97,545.31

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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.