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Finding the Third Proportional to 29,536.50 and 45,234.75

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Solution

The third proportional to 29,536.50 and 45,234.75 is: 69,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,536.50 : 45,234.75 = 45,234.75 : x
  2. Step 2: Convert to fraction form
    29,536.50/45,234.75 = 45,234.75/x
  3. Step 3: Cross multiply
    29,536.50x = 45,234.75 × 45,234.75
  4. Step 4: Simplify right side
    29,536.50x = 2,046,182,607.56
  5. Step 5: Solve for x
    x = 2,046,182,607.56/29,536.50
  6. Step 6: Final answer
    x = 69,276.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.