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Finding the Third Proportional to 23,384.53 and 35,660.53

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Solution

The third proportional to 23,384.53 and 35,660.53 is: 54,380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.53 : 35,660.53 = 35,660.53 : x
  2. Step 2: Convert to fraction form
    23,384.53/35,660.53 = 35,660.53/x
  3. Step 3: Cross multiply
    23,384.53x = 35,660.53 × 35,660.53
  4. Step 4: Simplify right side
    23,384.53x = 1,271,673,489.03
  5. Step 5: Solve for x
    x = 1,271,673,489.03/23,384.53
  6. Step 6: Final answer
    x = 54,380.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.