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Finding the Third Proportional to 36,212.75 and 48,730

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Solution

The third proportional to 36,212.75 and 48,730 is: 65,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,212.75 : 48,730 = 48,730 : x
  2. Step 2: Convert to fraction form
    36,212.75/48,730 = 48,730/x
  3. Step 3: Cross multiply
    36,212.75x = 48,730 × 48,730
  4. Step 4: Simplify right side
    36,212.75x = 2,374,612,900
  5. Step 5: Solve for x
    x = 2,374,612,900/36,212.75
  6. Step 6: Final answer
    x = 65,573.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.