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Finding the Third Proportional to 10,496.25 and 14,370.75

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Solution

The third proportional to 10,496.25 and 14,370.75 is: 19,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.25 : 14,370.75 = 14,370.75 : x
  2. Step 2: Convert to fraction form
    10,496.25/14,370.75 = 14,370.75/x
  3. Step 3: Cross multiply
    10,496.25x = 14,370.75 × 14,370.75
  4. Step 4: Simplify right side
    10,496.25x = 206,518,455.56
  5. Step 5: Solve for x
    x = 206,518,455.56/10,496.25
  6. Step 6: Final answer
    x = 19,675.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.