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Finding the Third Proportional to 14,166 and 33,417

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Solution

The third proportional to 14,166 and 33,417 is: 78,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,166 : 33,417 = 33,417 : x
  2. Step 2: Convert to fraction form
    14,166/33,417 = 33,417/x
  3. Step 3: Cross multiply
    14,166x = 33,417 × 33,417
  4. Step 4: Simplify right side
    14,166x = 1,116,695,889
  5. Step 5: Solve for x
    x = 1,116,695,889/14,166
  6. Step 6: Final answer
    x = 78,829.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.