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Finding the Third Proportional to 26,408 and 58,720

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Solution

The third proportional to 26,408 and 58,720 is: 130,567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,408 : 58,720 = 58,720 : x
  2. Step 2: Convert to fraction form
    26,408/58,720 = 58,720/x
  3. Step 3: Cross multiply
    26,408x = 58,720 × 58,720
  4. Step 4: Simplify right side
    26,408x = 3,448,038,400
  5. Step 5: Solve for x
    x = 3,448,038,400/26,408
  6. Step 6: Final answer
    x = 130,567.95

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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.