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Finding the Third Proportional to 7,383 and 11,455.50

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Solution

The third proportional to 7,383 and 11,455.50 is: 17,774.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383 : 11,455.50 = 11,455.50 : x
  2. Step 2: Convert to fraction form
    7,383/11,455.50 = 11,455.50/x
  3. Step 3: Cross multiply
    7,383x = 11,455.50 × 11,455.50
  4. Step 4: Simplify right side
    7,383x = 131,228,480.25
  5. Step 5: Solve for x
    x = 131,228,480.25/7,383
  6. Step 6: Final answer
    x = 17,774.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.