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Finding the Third Proportional to 62,459.44 and 82,004.06

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Solution

The third proportional to 62,459.44 and 82,004.06 is: 107,664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,459.44 : 82,004.06 = 82,004.06 : x
  2. Step 2: Convert to fraction form
    62,459.44/82,004.06 = 82,004.06/x
  3. Step 3: Cross multiply
    62,459.44x = 82,004.06 × 82,004.06
  4. Step 4: Simplify right side
    62,459.44x = 6,724,666,266.50
  5. Step 5: Solve for x
    x = 6,724,666,266.50/62,459.44
  6. Step 6: Final answer
    x = 107,664.53

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.