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Finding the Third Proportional to 45,926.50 and 65,003.75

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Solution

The third proportional to 45,926.50 and 65,003.75 is: 92,005.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,926.50 : 65,003.75 = 65,003.75 : x
  2. Step 2: Convert to fraction form
    45,926.50/65,003.75 = 65,003.75/x
  3. Step 3: Cross multiply
    45,926.50x = 65,003.75 × 65,003.75
  4. Step 4: Simplify right side
    45,926.50x = 4,225,487,514.06
  5. Step 5: Solve for x
    x = 4,225,487,514.06/45,926.50
  6. Step 6: Final answer
    x = 92,005.43

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.