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Finding the Third Proportional to 23,576.06 and 43,699.50

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Solution

The third proportional to 23,576.06 and 43,699.50 is: 80,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,576.06 : 43,699.50 = 43,699.50 : x
  2. Step 2: Convert to fraction form
    23,576.06/43,699.50 = 43,699.50/x
  3. Step 3: Cross multiply
    23,576.06x = 43,699.50 × 43,699.50
  4. Step 4: Simplify right side
    23,576.06x = 1,909,646,300.25
  5. Step 5: Solve for x
    x = 1,909,646,300.25/23,576.06
  6. Step 6: Final answer
    x = 80,999.37

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.