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Finding the Third Proportional to 12,346.50 and 26,097

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Solution

The third proportional to 12,346.50 and 26,097 is: 55,161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.50 : 26,097 = 26,097 : x
  2. Step 2: Convert to fraction form
    12,346.50/26,097 = 26,097/x
  3. Step 3: Cross multiply
    12,346.50x = 26,097 × 26,097
  4. Step 4: Simplify right side
    12,346.50x = 681,053,409
  5. Step 5: Solve for x
    x = 681,053,409/12,346.50
  6. Step 6: Final answer
    x = 55,161.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.