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Finding the Third Proportional to 20,988 and 32,889

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Solution

The third proportional to 20,988 and 32,889 is: 51,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,988 : 32,889 = 32,889 : x
  2. Step 2: Convert to fraction form
    20,988/32,889 = 32,889/x
  3. Step 3: Cross multiply
    20,988x = 32,889 × 32,889
  4. Step 4: Simplify right side
    20,988x = 1,081,686,321
  5. Step 5: Solve for x
    x = 1,081,686,321/20,988
  6. Step 6: Final answer
    x = 51,538.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.