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Finding the Third Proportional to 9,389.38 and 19,038.03

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Solution

The third proportional to 9,389.38 and 19,038.03 is: 38,601.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.38 : 19,038.03 = 19,038.03 : x
  2. Step 2: Convert to fraction form
    9,389.38/19,038.03 = 19,038.03/x
  3. Step 3: Cross multiply
    9,389.38x = 19,038.03 × 19,038.03
  4. Step 4: Simplify right side
    9,389.38x = 362,446,633.88
  5. Step 5: Solve for x
    x = 362,446,633.88/9,389.38
  6. Step 6: Final answer
    x = 38,601.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.