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Finding the Third Proportional to 9,038.25 and 19,244.25

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Solution

The third proportional to 9,038.25 and 19,244.25 is: 40,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.25 : 19,244.25 = 19,244.25 : x
  2. Step 2: Convert to fraction form
    9,038.25/19,244.25 = 19,244.25/x
  3. Step 3: Cross multiply
    9,038.25x = 19,244.25 × 19,244.25
  4. Step 4: Simplify right side
    9,038.25x = 370,341,158.06
  5. Step 5: Solve for x
    x = 370,341,158.06/9,038.25
  6. Step 6: Final answer
    x = 40,974.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.