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Finding the Third Proportional to 48,424 and 68,556

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Solution

The third proportional to 48,424 and 68,556 is: 97,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,424 : 68,556 = 68,556 : x
  2. Step 2: Convert to fraction form
    48,424/68,556 = 68,556/x
  3. Step 3: Cross multiply
    48,424x = 68,556 × 68,556
  4. Step 4: Simplify right side
    48,424x = 4,699,925,136
  5. Step 5: Solve for x
    x = 4,699,925,136/48,424
  6. Step 6: Final answer
    x = 97,057.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.