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Finding the Third Proportional to 26,172 and 34,829

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Solution

The third proportional to 26,172 and 34,829 is: 46,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,172 : 34,829 = 34,829 : x
  2. Step 2: Convert to fraction form
    26,172/34,829 = 34,829/x
  3. Step 3: Cross multiply
    26,172x = 34,829 × 34,829
  4. Step 4: Simplify right side
    26,172x = 1,213,059,241
  5. Step 5: Solve for x
    x = 1,213,059,241/26,172
  6. Step 6: Final answer
    x = 46,349.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.