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Finding the Third Proportional to 26,655 and 58,494

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Solution

The third proportional to 26,655 and 58,494 is: 128,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,655 : 58,494 = 58,494 : x
  2. Step 2: Convert to fraction form
    26,655/58,494 = 58,494/x
  3. Step 3: Cross multiply
    26,655x = 58,494 × 58,494
  4. Step 4: Simplify right side
    26,655x = 3,421,548,036
  5. Step 5: Solve for x
    x = 3,421,548,036/26,655
  6. Step 6: Final answer
    x = 128,364.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.