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Finding the Third Proportional to 19,683.56 and 29,525.44

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Solution

The third proportional to 19,683.56 and 29,525.44 is: 44,288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.56 : 29,525.44 = 29,525.44 : x
  2. Step 2: Convert to fraction form
    19,683.56/29,525.44 = 29,525.44/x
  3. Step 3: Cross multiply
    19,683.56x = 29,525.44 × 29,525.44
  4. Step 4: Simplify right side
    19,683.56x = 871,751,459.57
  5. Step 5: Solve for x
    x = 871,751,459.57/19,683.56
  6. Step 6: Final answer
    x = 44,288.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.