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Finding the Third Proportional to 12,160 and 13,168

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Solution

The third proportional to 12,160 and 13,168 is: 14,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160 : 13,168 = 13,168 : x
  2. Step 2: Convert to fraction form
    12,160/13,168 = 13,168/x
  3. Step 3: Cross multiply
    12,160x = 13,168 × 13,168
  4. Step 4: Simplify right side
    12,160x = 173,396,224
  5. Step 5: Solve for x
    x = 173,396,224/12,160
  6. Step 6: Final answer
    x = 14,259.56

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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.