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Finding the Third Proportional to 21,378 and 32,447

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Solution

The third proportional to 21,378 and 32,447 is: 49,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,378 : 32,447 = 32,447 : x
  2. Step 2: Convert to fraction form
    21,378/32,447 = 32,447/x
  3. Step 3: Cross multiply
    21,378x = 32,447 × 32,447
  4. Step 4: Simplify right side
    21,378x = 1,052,807,809
  5. Step 5: Solve for x
    x = 1,052,807,809/21,378
  6. Step 6: Final answer
    x = 49,247.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.