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Finding the Third Proportional to 30,008 and 48,337

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Solution

The third proportional to 30,008 and 48,337 is: 77,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,008 : 48,337 = 48,337 : x
  2. Step 2: Convert to fraction form
    30,008/48,337 = 48,337/x
  3. Step 3: Cross multiply
    30,008x = 48,337 × 48,337
  4. Step 4: Simplify right side
    30,008x = 2,336,465,569
  5. Step 5: Solve for x
    x = 2,336,465,569/30,008
  6. Step 6: Final answer
    x = 77,861.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.