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Finding the Third Proportional to 14,375.75 and 19,795.75

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Solution

The third proportional to 14,375.75 and 19,795.75 is: 27,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,375.75 : 19,795.75 = 19,795.75 : x
  2. Step 2: Convert to fraction form
    14,375.75/19,795.75 = 19,795.75/x
  3. Step 3: Cross multiply
    14,375.75x = 19,795.75 × 19,795.75
  4. Step 4: Simplify right side
    14,375.75x = 391,871,718.06
  5. Step 5: Solve for x
    x = 391,871,718.06/14,375.75
  6. Step 6: Final answer
    x = 27,259.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.