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Finding the Third Proportional to 47,232 and 72,336

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Solution

The third proportional to 47,232 and 72,336 is: 110,782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,232 : 72,336 = 72,336 : x
  2. Step 2: Convert to fraction form
    47,232/72,336 = 72,336/x
  3. Step 3: Cross multiply
    47,232x = 72,336 × 72,336
  4. Step 4: Simplify right side
    47,232x = 5,232,496,896
  5. Step 5: Solve for x
    x = 5,232,496,896/47,232
  6. Step 6: Final answer
    x = 110,782.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.