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Finding the Third Proportional to 41,663.50 and 59,536.50

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Solution

The third proportional to 41,663.50 and 59,536.50 is: 85,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,663.50 : 59,536.50 = 59,536.50 : x
  2. Step 2: Convert to fraction form
    41,663.50/59,536.50 = 59,536.50/x
  3. Step 3: Cross multiply
    41,663.50x = 59,536.50 × 59,536.50
  4. Step 4: Simplify right side
    41,663.50x = 3,544,594,832.25
  5. Step 5: Solve for x
    x = 3,544,594,832.25/41,663.50
  6. Step 6: Final answer
    x = 85,076.74

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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.