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Finding the Third Proportional to 36,337 and 48,829

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Solution

The third proportional to 36,337 and 48,829 is: 65,615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,337 : 48,829 = 48,829 : x
  2. Step 2: Convert to fraction form
    36,337/48,829 = 48,829/x
  3. Step 3: Cross multiply
    36,337x = 48,829 × 48,829
  4. Step 4: Simplify right side
    36,337x = 2,384,271,241
  5. Step 5: Solve for x
    x = 2,384,271,241/36,337
  6. Step 6: Final answer
    x = 65,615.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.