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Finding the Third Proportional to 26,316 and 58,171

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Solution

The third proportional to 26,316 and 58,171 is: 128,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,316 : 58,171 = 58,171 : x
  2. Step 2: Convert to fraction form
    26,316/58,171 = 58,171/x
  3. Step 3: Cross multiply
    26,316x = 58,171 × 58,171
  4. Step 4: Simplify right side
    26,316x = 3,383,865,241
  5. Step 5: Solve for x
    x = 3,383,865,241/26,316
  6. Step 6: Final answer
    x = 128,585.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.