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Finding the Third Proportional to 47,994 and 72,000

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Solution

The third proportional to 47,994 and 72,000 is: 108,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,994 : 72,000 = 72,000 : x
  2. Step 2: Convert to fraction form
    47,994/72,000 = 72,000/x
  3. Step 3: Cross multiply
    47,994x = 72,000 × 72,000
  4. Step 4: Simplify right side
    47,994x = 5,184,000,000
  5. Step 5: Solve for x
    x = 5,184,000,000/47,994
  6. Step 6: Final answer
    x = 108,013.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.