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Finding the Third Proportional to 49,483.50 and 79,827.75

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Solution

The third proportional to 49,483.50 and 79,827.75 is: 128,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,483.50 : 79,827.75 = 79,827.75 : x
  2. Step 2: Convert to fraction form
    49,483.50/79,827.75 = 79,827.75/x
  3. Step 3: Cross multiply
    49,483.50x = 79,827.75 × 79,827.75
  4. Step 4: Simplify right side
    49,483.50x = 6,372,469,670.06
  5. Step 5: Solve for x
    x = 6,372,469,670.06/49,483.50
  6. Step 6: Final answer
    x = 128,779.69

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