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Finding the Third Proportional to 20,488 and 32,158

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Solution

The third proportional to 20,488 and 32,158 is: 50,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488 : 32,158 = 32,158 : x
  2. Step 2: Convert to fraction form
    20,488/32,158 = 32,158/x
  3. Step 3: Cross multiply
    20,488x = 32,158 × 32,158
  4. Step 4: Simplify right side
    20,488x = 1,034,136,964
  5. Step 5: Solve for x
    x = 1,034,136,964/20,488
  6. Step 6: Final answer
    x = 50,475.25

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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.