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Finding the Third Proportional to 14,397.75 and 19,446.75

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Solution

The third proportional to 14,397.75 and 19,446.75 is: 26,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,397.75 : 19,446.75 = 19,446.75 : x
  2. Step 2: Convert to fraction form
    14,397.75/19,446.75 = 19,446.75/x
  3. Step 3: Cross multiply
    14,397.75x = 19,446.75 × 19,446.75
  4. Step 4: Simplify right side
    14,397.75x = 378,176,085.56
  5. Step 5: Solve for x
    x = 378,176,085.56/14,397.75
  6. Step 6: Final answer
    x = 26,266.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.