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Finding the Third Proportional to 56,832.47 and 82,749.94

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Solution

The third proportional to 56,832.47 and 82,749.94 is: 120,486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,832.47 : 82,749.94 = 82,749.94 : x
  2. Step 2: Convert to fraction form
    56,832.47/82,749.94 = 82,749.94/x
  3. Step 3: Cross multiply
    56,832.47x = 82,749.94 × 82,749.94
  4. Step 4: Simplify right side
    56,832.47x = 6,847,552,156.25
  5. Step 5: Solve for x
    x = 6,847,552,156.25/56,832.47
  6. Step 6: Final answer
    x = 120,486.62

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.