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Finding the Third Proportional to 34,980 and 54,562.50

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Solution

The third proportional to 34,980 and 54,562.50 is: 85,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,980 : 54,562.50 = 54,562.50 : x
  2. Step 2: Convert to fraction form
    34,980/54,562.50 = 54,562.50/x
  3. Step 3: Cross multiply
    34,980x = 54,562.50 × 54,562.50
  4. Step 4: Simplify right side
    34,980x = 2,977,066,406.25
  5. Step 5: Solve for x
    x = 2,977,066,406.25/34,980
  6. Step 6: Final answer
    x = 85,107.67

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.