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Finding the Third Proportional to 35,219.81 and 54,544.01

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Solution

The third proportional to 35,219.81 and 54,544.01 is: 84,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,219.81 : 54,544.01 = 54,544.01 : x
  2. Step 2: Convert to fraction form
    35,219.81/54,544.01 = 54,544.01/x
  3. Step 3: Cross multiply
    35,219.81x = 54,544.01 × 54,544.01
  4. Step 4: Simplify right side
    35,219.81x = 2,975,048,788.25
  5. Step 5: Solve for x
    x = 2,975,048,788.25/35,219.81
  6. Step 6: Final answer
    x = 84,470.89

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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.