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Finding the Third Proportional to 26,600 and 58,720

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Solution

The third proportional to 26,600 and 58,720 is: 129,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,600 : 58,720 = 58,720 : x
  2. Step 2: Convert to fraction form
    26,600/58,720 = 58,720/x
  3. Step 3: Cross multiply
    26,600x = 58,720 × 58,720
  4. Step 4: Simplify right side
    26,600x = 3,448,038,400
  5. Step 5: Solve for x
    x = 3,448,038,400/26,600
  6. Step 6: Final answer
    x = 129,625.50

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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.