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Finding the Third Proportional to 13,404 and 21,256.50

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Solution

The third proportional to 13,404 and 21,256.50 is: 33,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,404 : 21,256.50 = 21,256.50 : x
  2. Step 2: Convert to fraction form
    13,404/21,256.50 = 21,256.50/x
  3. Step 3: Cross multiply
    13,404x = 21,256.50 × 21,256.50
  4. Step 4: Simplify right side
    13,404x = 451,838,792.25
  5. Step 5: Solve for x
    x = 451,838,792.25/13,404
  6. Step 6: Final answer
    x = 33,709.25

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.