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Finding the Third Proportional to 20,532 and 26,960.50

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Solution

The third proportional to 20,532 and 26,960.50 is: 35,401.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532 : 26,960.50 = 26,960.50 : x
  2. Step 2: Convert to fraction form
    20,532/26,960.50 = 26,960.50/x
  3. Step 3: Cross multiply
    20,532x = 26,960.50 × 26,960.50
  4. Step 4: Simplify right side
    20,532x = 726,868,560.25
  5. Step 5: Solve for x
    x = 726,868,560.25/20,532
  6. Step 6: Final answer
    x = 35,401.74

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.