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Finding the Third Proportional to 11,205 and 19,797.75

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Solution

The third proportional to 11,205 and 19,797.75 is: 34,980.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205 : 19,797.75 = 19,797.75 : x
  2. Step 2: Convert to fraction form
    11,205/19,797.75 = 19,797.75/x
  3. Step 3: Cross multiply
    11,205x = 19,797.75 × 19,797.75
  4. Step 4: Simplify right side
    11,205x = 391,950,905.06
  5. Step 5: Solve for x
    x = 391,950,905.06/11,205
  6. Step 6: Final answer
    x = 34,980.00

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.