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Finding the Third Proportional to 4,500 and 5,148

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Solution

The third proportional to 4,500 and 5,148 is: 5,889.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500 : 5,148 = 5,148 : x
  2. Step 2: Convert to fraction form
    4,500/5,148 = 5,148/x
  3. Step 3: Cross multiply
    4,500x = 5,148 × 5,148
  4. Step 4: Simplify right side
    4,500x = 26,501,904
  5. Step 5: Solve for x
    x = 26,501,904/4,500
  6. Step 6: Final answer
    x = 5,889.31

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.