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Finding the Third Proportional to 32,967 and 72,285.75

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Solution

The third proportional to 32,967 and 72,285.75 is: 158,498.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967 : 72,285.75 = 72,285.75 : x
  2. Step 2: Convert to fraction form
    32,967/72,285.75 = 72,285.75/x
  3. Step 3: Cross multiply
    32,967x = 72,285.75 × 72,285.75
  4. Step 4: Simplify right side
    32,967x = 5,225,229,653.06
  5. Step 5: Solve for x
    x = 5,225,229,653.06/32,967
  6. Step 6: Final answer
    x = 158,498.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.