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Finding the Third Proportional to 34,627.50 and 72,900

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Solution

The third proportional to 34,627.50 and 72,900 is: 153,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,627.50 : 72,900 = 72,900 : x
  2. Step 2: Convert to fraction form
    34,627.50/72,900 = 72,900/x
  3. Step 3: Cross multiply
    34,627.50x = 72,900 × 72,900
  4. Step 4: Simplify right side
    34,627.50x = 5,314,410,000
  5. Step 5: Solve for x
    x = 5,314,410,000/34,627.50
  6. Step 6: Final answer
    x = 153,473.68

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.