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Finding the Third Proportional to 12,534.75 and 14,370.75

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Solution

The third proportional to 12,534.75 and 14,370.75 is: 16,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.75 : 14,370.75 = 14,370.75 : x
  2. Step 2: Convert to fraction form
    12,534.75/14,370.75 = 14,370.75/x
  3. Step 3: Cross multiply
    12,534.75x = 14,370.75 × 14,370.75
  4. Step 4: Simplify right side
    12,534.75x = 206,518,455.56
  5. Step 5: Solve for x
    x = 206,518,455.56/12,534.75
  6. Step 6: Final answer
    x = 16,475.67

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.