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Finding the Third Proportional to 26,716 and 41,530

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Solution

The third proportional to 26,716 and 41,530 is: 64,558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,716 : 41,530 = 41,530 : x
  2. Step 2: Convert to fraction form
    26,716/41,530 = 41,530/x
  3. Step 3: Cross multiply
    26,716x = 41,530 × 41,530
  4. Step 4: Simplify right side
    26,716x = 1,724,740,900
  5. Step 5: Solve for x
    x = 1,724,740,900/26,716
  6. Step 6: Final answer
    x = 64,558.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.