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Finding the Third Proportional to 8,235 and 18,038.25

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Solution

The third proportional to 8,235 and 18,038.25 is: 39,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235 : 18,038.25 = 18,038.25 : x
  2. Step 2: Convert to fraction form
    8,235/18,038.25 = 18,038.25/x
  3. Step 3: Cross multiply
    8,235x = 18,038.25 × 18,038.25
  4. Step 4: Simplify right side
    8,235x = 325,378,463.06
  5. Step 5: Solve for x
    x = 325,378,463.06/8,235
  6. Step 6: Final answer
    x = 39,511.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.