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Finding the Third Proportional to 18,933.96 and 29,316.30

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Solution

The third proportional to 18,933.96 and 29,316.30 is: 45,391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,933.96 : 29,316.30 = 29,316.30 : x
  2. Step 2: Convert to fraction form
    18,933.96/29,316.30 = 29,316.30/x
  3. Step 3: Cross multiply
    18,933.96x = 29,316.30 × 29,316.30
  4. Step 4: Simplify right side
    18,933.96x = 859,445,720.53
  5. Step 5: Solve for x
    x = 859,445,720.53/18,933.96
  6. Step 6: Final answer
    x = 45,391.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.