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Finding the Third Proportional to 13,430 and 29,167

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Solution

The third proportional to 13,430 and 29,167 is: 63,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430 : 29,167 = 29,167 : x
  2. Step 2: Convert to fraction form
    13,430/29,167 = 29,167/x
  3. Step 3: Cross multiply
    13,430x = 29,167 × 29,167
  4. Step 4: Simplify right side
    13,430x = 850,713,889
  5. Step 5: Solve for x
    x = 850,713,889/13,430
  6. Step 6: Final answer
    x = 63,344.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.