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Finding the Third Proportional to 20,703 and 32,805

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Solution

The third proportional to 20,703 and 32,805 is: 51,981.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,703 : 32,805 = 32,805 : x
  2. Step 2: Convert to fraction form
    20,703/32,805 = 32,805/x
  3. Step 3: Cross multiply
    20,703x = 32,805 × 32,805
  4. Step 4: Simplify right side
    20,703x = 1,076,168,025
  5. Step 5: Solve for x
    x = 1,076,168,025/20,703
  6. Step 6: Final answer
    x = 51,981.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.