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Finding the Third Proportional to 20,524.50 and 26,955

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Solution

The third proportional to 20,524.50 and 26,955 is: 35,400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.50 : 26,955 = 26,955 : x
  2. Step 2: Convert to fraction form
    20,524.50/26,955 = 26,955/x
  3. Step 3: Cross multiply
    20,524.50x = 26,955 × 26,955
  4. Step 4: Simplify right side
    20,524.50x = 726,572,025
  5. Step 5: Solve for x
    x = 726,572,025/20,524.50
  6. Step 6: Final answer
    x = 35,400.23

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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.