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Finding the Third Proportional to 45,832.50 and 62,444.25

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Solution

The third proportional to 45,832.50 and 62,444.25 is: 85,076.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,832.50 : 62,444.25 = 62,444.25 : x
  2. Step 2: Convert to fraction form
    45,832.50/62,444.25 = 62,444.25/x
  3. Step 3: Cross multiply
    45,832.50x = 62,444.25 × 62,444.25
  4. Step 4: Simplify right side
    45,832.50x = 3,899,284,358.06
  5. Step 5: Solve for x
    x = 3,899,284,358.06/45,832.50
  6. Step 6: Final answer
    x = 85,076.84

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.