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Finding the Third Proportional to 13,057.75 and 19,039.75

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Solution

The third proportional to 13,057.75 and 19,039.75 is: 27,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.75 : 19,039.75 = 19,039.75 : x
  2. Step 2: Convert to fraction form
    13,057.75/19,039.75 = 19,039.75/x
  3. Step 3: Cross multiply
    13,057.75x = 19,039.75 × 19,039.75
  4. Step 4: Simplify right side
    13,057.75x = 362,512,080.06
  5. Step 5: Solve for x
    x = 362,512,080.06/13,057.75
  6. Step 6: Final answer
    x = 27,762.22

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Why These Related Problems?

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