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Finding the Third Proportional to 61,323.75 and 82,410.75

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Solution

The third proportional to 61,323.75 and 82,410.75 is: 110,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,323.75 : 82,410.75 = 82,410.75 : x
  2. Step 2: Convert to fraction form
    61,323.75/82,410.75 = 82,410.75/x
  3. Step 3: Cross multiply
    61,323.75x = 82,410.75 × 82,410.75
  4. Step 4: Simplify right side
    61,323.75x = 6,791,531,715.56
  5. Step 5: Solve for x
    x = 6,791,531,715.56/61,323.75
  6. Step 6: Final answer
    x = 110,748.80

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.