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Finding the Third Proportional to 47,433 and 63,447

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Solution

The third proportional to 47,433 and 63,447 is: 84,867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,433 : 63,447 = 63,447 : x
  2. Step 2: Convert to fraction form
    47,433/63,447 = 63,447/x
  3. Step 3: Cross multiply
    47,433x = 63,447 × 63,447
  4. Step 4: Simplify right side
    47,433x = 4,025,521,809
  5. Step 5: Solve for x
    x = 4,025,521,809/47,433
  6. Step 6: Final answer
    x = 84,867.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.