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Finding the Third Proportional to 26,408 and 58,000

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Solution

The third proportional to 26,408 and 58,000 is: 127,385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,408 : 58,000 = 58,000 : x
  2. Step 2: Convert to fraction form
    26,408/58,000 = 58,000/x
  3. Step 3: Cross multiply
    26,408x = 58,000 × 58,000
  4. Step 4: Simplify right side
    26,408x = 3,364,000,000
  5. Step 5: Solve for x
    x = 3,364,000,000/26,408
  6. Step 6: Final answer
    x = 127,385.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.