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Finding the Third Proportional to 14,671 and 32,077

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Solution

The third proportional to 14,671 and 32,077 is: 70,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,671 : 32,077 = 32,077 : x
  2. Step 2: Convert to fraction form
    14,671/32,077 = 32,077/x
  3. Step 3: Cross multiply
    14,671x = 32,077 × 32,077
  4. Step 4: Simplify right side
    14,671x = 1,028,933,929
  5. Step 5: Solve for x
    x = 1,028,933,929/14,671
  6. Step 6: Final answer
    x = 70,133.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.