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Finding the Third Proportional to 14,858 and 33,037

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Solution

The third proportional to 14,858 and 33,037 is: 73,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,858 : 33,037 = 33,037 : x
  2. Step 2: Convert to fraction form
    14,858/33,037 = 33,037/x
  3. Step 3: Cross multiply
    14,858x = 33,037 × 33,037
  4. Step 4: Simplify right side
    14,858x = 1,091,443,369
  5. Step 5: Solve for x
    x = 1,091,443,369/14,858
  6. Step 6: Final answer
    x = 73,458.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.