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Finding the Third Proportional to 5,880 and 13,160

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Solution

The third proportional to 5,880 and 13,160 is: 29,453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880 : 13,160 = 13,160 : x
  2. Step 2: Convert to fraction form
    5,880/13,160 = 13,160/x
  3. Step 3: Cross multiply
    5,880x = 13,160 × 13,160
  4. Step 4: Simplify right side
    5,880x = 173,185,600
  5. Step 5: Solve for x
    x = 173,185,600/5,880
  6. Step 6: Final answer
    x = 29,453.33

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.