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Finding the Third Proportional to 26,809.50 and 52,946

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Solution

The third proportional to 26,809.50 and 52,946 is: 104,562.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,809.50 : 52,946 = 52,946 : x
  2. Step 2: Convert to fraction form
    26,809.50/52,946 = 52,946/x
  3. Step 3: Cross multiply
    26,809.50x = 52,946 × 52,946
  4. Step 4: Simplify right side
    26,809.50x = 2,803,278,916
  5. Step 5: Solve for x
    x = 2,803,278,916/26,809.50
  6. Step 6: Final answer
    x = 104,562.89

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.