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Finding the Third Proportional to 20,706 and 32,803

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Solution

The third proportional to 20,706 and 32,803 is: 51,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706 : 32,803 = 32,803 : x
  2. Step 2: Convert to fraction form
    20,706/32,803 = 32,803/x
  3. Step 3: Cross multiply
    20,706x = 32,803 × 32,803
  4. Step 4: Simplify right side
    20,706x = 1,076,036,809
  5. Step 5: Solve for x
    x = 1,076,036,809/20,706
  6. Step 6: Final answer
    x = 51,967.39

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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.