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Finding the Third Proportional to 14,967 and 19,419.75

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Solution

The third proportional to 14,967 and 19,419.75 is: 25,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967 : 19,419.75 = 19,419.75 : x
  2. Step 2: Convert to fraction form
    14,967/19,419.75 = 19,419.75/x
  3. Step 3: Cross multiply
    14,967x = 19,419.75 × 19,419.75
  4. Step 4: Simplify right side
    14,967x = 377,126,690.06
  5. Step 5: Solve for x
    x = 377,126,690.06/14,967
  6. Step 6: Final answer
    x = 25,197.21

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.