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Finding the Third Proportional to 48,476 and 71,116

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Solution

The third proportional to 48,476 and 71,116 is: 104,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476 : 71,116 = 71,116 : x
  2. Step 2: Convert to fraction form
    48,476/71,116 = 71,116/x
  3. Step 3: Cross multiply
    48,476x = 71,116 × 71,116
  4. Step 4: Simplify right side
    48,476x = 5,057,485,456
  5. Step 5: Solve for x
    x = 5,057,485,456/48,476
  6. Step 6: Final answer
    x = 104,329.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.