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Finding the Third Proportional to 13,529.25 and 19,334.25

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Solution

The third proportional to 13,529.25 and 19,334.25 is: 27,630.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,529.25 : 19,334.25 = 19,334.25 : x
  2. Step 2: Convert to fraction form
    13,529.25/19,334.25 = 19,334.25/x
  3. Step 3: Cross multiply
    13,529.25x = 19,334.25 × 19,334.25
  4. Step 4: Simplify right side
    13,529.25x = 373,813,223.06
  5. Step 5: Solve for x
    x = 373,813,223.06/13,529.25
  6. Step 6: Final answer
    x = 27,630.00

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.