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Finding the Third Proportional to 36,848 and 56,670

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Solution

The third proportional to 36,848 and 56,670 is: 87,155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,848 : 56,670 = 56,670 : x
  2. Step 2: Convert to fraction form
    36,848/56,670 = 56,670/x
  3. Step 3: Cross multiply
    36,848x = 56,670 × 56,670
  4. Step 4: Simplify right side
    36,848x = 3,211,488,900
  5. Step 5: Solve for x
    x = 3,211,488,900/36,848
  6. Step 6: Final answer
    x = 87,155.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.