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Finding the Third Proportional to 13,056.75 and 19,026.56

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Solution

The third proportional to 13,056.75 and 19,026.56 is: 27,725.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,056.75 : 19,026.56 = 19,026.56 : x
  2. Step 2: Convert to fraction form
    13,056.75/19,026.56 = 19,026.56/x
  3. Step 3: Cross multiply
    13,056.75x = 19,026.56 × 19,026.56
  4. Step 4: Simplify right side
    13,056.75x = 362,010,080.57
  5. Step 5: Solve for x
    x = 362,010,080.57/13,056.75
  6. Step 6: Final answer
    x = 27,725.90

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.