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Finding the Third Proportional to 4,365 and 5,467.50

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Solution

The third proportional to 4,365 and 5,467.50 is: 6,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365 : 5,467.50 = 5,467.50 : x
  2. Step 2: Convert to fraction form
    4,365/5,467.50 = 5,467.50/x
  3. Step 3: Cross multiply
    4,365x = 5,467.50 × 5,467.50
  4. Step 4: Simplify right side
    4,365x = 29,893,556.25
  5. Step 5: Solve for x
    x = 29,893,556.25/4,365
  6. Step 6: Final answer
    x = 6,848.47

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.