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Finding the Third Proportional to 13,383 and 20,722.50

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Solution

The third proportional to 13,383 and 20,722.50 is: 32,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383 : 20,722.50 = 20,722.50 : x
  2. Step 2: Convert to fraction form
    13,383/20,722.50 = 20,722.50/x
  3. Step 3: Cross multiply
    13,383x = 20,722.50 × 20,722.50
  4. Step 4: Simplify right side
    13,383x = 429,422,006.25
  5. Step 5: Solve for x
    x = 429,422,006.25/13,383
  6. Step 6: Final answer
    x = 32,087.13

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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.