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Finding the Third Proportional to 26,410 and 58,652

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Solution

The third proportional to 26,410 and 58,652 is: 130,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,410 : 58,652 = 58,652 : x
  2. Step 2: Convert to fraction form
    26,410/58,652 = 58,652/x
  3. Step 3: Cross multiply
    26,410x = 58,652 × 58,652
  4. Step 4: Simplify right side
    26,410x = 3,440,057,104
  5. Step 5: Solve for x
    x = 3,440,057,104/26,410
  6. Step 6: Final answer
    x = 130,255.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.