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Finding the Third Proportional to 26,532 and 55,620

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Solution

The third proportional to 26,532 and 55,620 is: 116,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,532 : 55,620 = 55,620 : x
  2. Step 2: Convert to fraction form
    26,532/55,620 = 55,620/x
  3. Step 3: Cross multiply
    26,532x = 55,620 × 55,620
  4. Step 4: Simplify right side
    26,532x = 3,093,584,400
  5. Step 5: Solve for x
    x = 3,093,584,400/26,532
  6. Step 6: Final answer
    x = 116,598.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.