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Finding the Third Proportional to 13,254.75 and 19,167.75

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Solution

The third proportional to 13,254.75 and 19,167.75 is: 27,718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,254.75 : 19,167.75 = 19,167.75 : x
  2. Step 2: Convert to fraction form
    13,254.75/19,167.75 = 19,167.75/x
  3. Step 3: Cross multiply
    13,254.75x = 19,167.75 × 19,167.75
  4. Step 4: Simplify right side
    13,254.75x = 367,402,640.06
  5. Step 5: Solve for x
    x = 367,402,640.06/13,254.75
  6. Step 6: Final answer
    x = 27,718.56

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.