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Finding the Third Proportional to 5,984 and 13,148

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Solution

The third proportional to 5,984 and 13,148 is: 28,888.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984 : 13,148 = 13,148 : x
  2. Step 2: Convert to fraction form
    5,984/13,148 = 13,148/x
  3. Step 3: Cross multiply
    5,984x = 13,148 × 13,148
  4. Step 4: Simplify right side
    5,984x = 172,869,904
  5. Step 5: Solve for x
    x = 172,869,904/5,984
  6. Step 6: Final answer
    x = 28,888.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.