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Finding the Third Proportional to 14,974 and 32,884

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Solution

The third proportional to 14,974 and 32,884 is: 72,215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,974 : 32,884 = 32,884 : x
  2. Step 2: Convert to fraction form
    14,974/32,884 = 32,884/x
  3. Step 3: Cross multiply
    14,974x = 32,884 × 32,884
  4. Step 4: Simplify right side
    14,974x = 1,081,357,456
  5. Step 5: Solve for x
    x = 1,081,357,456/14,974
  6. Step 6: Final answer
    x = 72,215.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.