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Finding the Third Proportional to 34,675.50 and 55,823.25

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Solution

The third proportional to 34,675.50 and 55,823.25 is: 89,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,675.50 : 55,823.25 = 55,823.25 : x
  2. Step 2: Convert to fraction form
    34,675.50/55,823.25 = 55,823.25/x
  3. Step 3: Cross multiply
    34,675.50x = 55,823.25 × 55,823.25
  4. Step 4: Simplify right side
    34,675.50x = 3,116,235,240.56
  5. Step 5: Solve for x
    x = 3,116,235,240.56/34,675.50
  6. Step 6: Final answer
    x = 89,868.50

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.