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Finding the Third Proportional to 26,489 and 55,154

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Solution

The third proportional to 26,489 and 55,154 is: 114,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,489 : 55,154 = 55,154 : x
  2. Step 2: Convert to fraction form
    26,489/55,154 = 55,154/x
  3. Step 3: Cross multiply
    26,489x = 55,154 × 55,154
  4. Step 4: Simplify right side
    26,489x = 3,041,963,716
  5. Step 5: Solve for x
    x = 3,041,963,716/26,489
  6. Step 6: Final answer
    x = 114,838.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.