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Finding the Third Proportional to 20,184 and 28,032

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Solution

The third proportional to 20,184 and 28,032 is: 38,931.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184 : 28,032 = 28,032 : x
  2. Step 2: Convert to fraction form
    20,184/28,032 = 28,032/x
  3. Step 3: Cross multiply
    20,184x = 28,032 × 28,032
  4. Step 4: Simplify right side
    20,184x = 785,793,024
  5. Step 5: Solve for x
    x = 785,793,024/20,184
  6. Step 6: Final answer
    x = 38,931.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.