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Finding the Third Proportional to 47,670 and 91,002

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Solution

The third proportional to 47,670 and 91,002 is: 173,722.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,670 : 91,002 = 91,002 : x
  2. Step 2: Convert to fraction form
    47,670/91,002 = 91,002/x
  3. Step 3: Cross multiply
    47,670x = 91,002 × 91,002
  4. Step 4: Simplify right side
    47,670x = 8,281,364,004
  5. Step 5: Solve for x
    x = 8,281,364,004/47,670
  6. Step 6: Final answer
    x = 173,722.76

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.