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Finding the Third Proportional to 9,389.25 and 19,037.25

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Solution

The third proportional to 9,389.25 and 19,037.25 is: 38,599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.25 : 19,037.25 = 19,037.25 : x
  2. Step 2: Convert to fraction form
    9,389.25/19,037.25 = 19,037.25/x
  3. Step 3: Cross multiply
    9,389.25x = 19,037.25 × 19,037.25
  4. Step 4: Simplify right side
    9,389.25x = 362,416,887.56
  5. Step 5: Solve for x
    x = 362,416,887.56/9,389.25
  6. Step 6: Final answer
    x = 38,599.13

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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.