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Finding the Third Proportional to 4,447 and 10,388.50

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Solution

The third proportional to 4,447 and 10,388.50 is: 24,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447 : 10,388.50 = 10,388.50 : x
  2. Step 2: Convert to fraction form
    4,447/10,388.50 = 10,388.50/x
  3. Step 3: Cross multiply
    4,447x = 10,388.50 × 10,388.50
  4. Step 4: Simplify right side
    4,447x = 107,920,932.25
  5. Step 5: Solve for x
    x = 107,920,932.25/4,447
  6. Step 6: Final answer
    x = 24,268.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.