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Finding the Third Proportional to 13,338 and 14,370.75

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Solution

The third proportional to 13,338 and 14,370.75 is: 15,483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338 : 14,370.75 = 14,370.75 : x
  2. Step 2: Convert to fraction form
    13,338/14,370.75 = 14,370.75/x
  3. Step 3: Cross multiply
    13,338x = 14,370.75 × 14,370.75
  4. Step 4: Simplify right side
    13,338x = 206,518,455.56
  5. Step 5: Solve for x
    x = 206,518,455.56/13,338
  6. Step 6: Final answer
    x = 15,483.46

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.