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Finding the Third Proportional to 53,803.50 and 76,843.50

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Solution

The third proportional to 53,803.50 and 76,843.50 is: 109,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,803.50 : 76,843.50 = 76,843.50 : x
  2. Step 2: Convert to fraction form
    53,803.50/76,843.50 = 76,843.50/x
  3. Step 3: Cross multiply
    53,803.50x = 76,843.50 × 76,843.50
  4. Step 4: Simplify right side
    53,803.50x = 5,904,923,492.25
  5. Step 5: Solve for x
    x = 5,904,923,492.25/53,803.50
  6. Step 6: Final answer
    x = 109,749.80

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.