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Finding the Third Proportional to 47,004 and 70,512

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Solution

The third proportional to 47,004 and 70,512 is: 105,777.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,004 : 70,512 = 70,512 : x
  2. Step 2: Convert to fraction form
    47,004/70,512 = 70,512/x
  3. Step 3: Cross multiply
    47,004x = 70,512 × 70,512
  4. Step 4: Simplify right side
    47,004x = 4,971,942,144
  5. Step 5: Solve for x
    x = 4,971,942,144/47,004
  6. Step 6: Final answer
    x = 105,777.00

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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.