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Finding the Third Proportional to 26,772 and 56,558

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Solution

The third proportional to 26,772 and 56,558 is: 119,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,772 : 56,558 = 56,558 : x
  2. Step 2: Convert to fraction form
    26,772/56,558 = 56,558/x
  3. Step 3: Cross multiply
    26,772x = 56,558 × 56,558
  4. Step 4: Simplify right side
    26,772x = 3,198,807,364
  5. Step 5: Solve for x
    x = 3,198,807,364/26,772
  6. Step 6: Final answer
    x = 119,483.32

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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.