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Finding the Third Proportional to 26,400 and 56,040

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Solution

The third proportional to 26,400 and 56,040 is: 118,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,400 : 56,040 = 56,040 : x
  2. Step 2: Convert to fraction form
    26,400/56,040 = 56,040/x
  3. Step 3: Cross multiply
    26,400x = 56,040 × 56,040
  4. Step 4: Simplify right side
    26,400x = 3,140,481,600
  5. Step 5: Solve for x
    x = 3,140,481,600/26,400
  6. Step 6: Final answer
    x = 118,957.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.