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Finding the Third Proportional to 29,900.25 and 61,744.50

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Solution

The third proportional to 29,900.25 and 61,744.50 is: 127,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,900.25 : 61,744.50 = 61,744.50 : x
  2. Step 2: Convert to fraction form
    29,900.25/61,744.50 = 61,744.50/x
  3. Step 3: Cross multiply
    29,900.25x = 61,744.50 × 61,744.50
  4. Step 4: Simplify right side
    29,900.25x = 3,812,383,280.25
  5. Step 5: Solve for x
    x = 3,812,383,280.25/29,900.25
  6. Step 6: Final answer
    x = 127,503.39

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.