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Finding the Third Proportional to 20,480 and 32,604

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Solution

The third proportional to 20,480 and 32,604 is: 51,905.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,480 : 32,604 = 32,604 : x
  2. Step 2: Convert to fraction form
    20,480/32,604 = 32,604/x
  3. Step 3: Cross multiply
    20,480x = 32,604 × 32,604
  4. Step 4: Simplify right side
    20,480x = 1,063,020,816
  5. Step 5: Solve for x
    x = 1,063,020,816/20,480
  6. Step 6: Final answer
    x = 51,905.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.