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Finding the Third Proportional to 34,852.50 and 54,033.75

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Solution

The third proportional to 34,852.50 and 54,033.75 is: 83,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,852.50 : 54,033.75 = 54,033.75 : x
  2. Step 2: Convert to fraction form
    34,852.50/54,033.75 = 54,033.75/x
  3. Step 3: Cross multiply
    34,852.50x = 54,033.75 × 54,033.75
  4. Step 4: Simplify right side
    34,852.50x = 2,919,646,139.06
  5. Step 5: Solve for x
    x = 2,919,646,139.06/34,852.50
  6. Step 6: Final answer
    x = 83,771.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.