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Finding the Third Proportional to 14,884 and 32,112

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Solution

The third proportional to 14,884 and 32,112 is: 69,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884 : 32,112 = 32,112 : x
  2. Step 2: Convert to fraction form
    14,884/32,112 = 32,112/x
  3. Step 3: Cross multiply
    14,884x = 32,112 × 32,112
  4. Step 4: Simplify right side
    14,884x = 1,031,180,544
  5. Step 5: Solve for x
    x = 1,031,180,544/14,884
  6. Step 6: Final answer
    x = 69,281.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.