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Finding the Third Proportional to 20,337 and 28,602

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Solution

The third proportional to 20,337 and 28,602 is: 40,225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,337 : 28,602 = 28,602 : x
  2. Step 2: Convert to fraction form
    20,337/28,602 = 28,602/x
  3. Step 3: Cross multiply
    20,337x = 28,602 × 28,602
  4. Step 4: Simplify right side
    20,337x = 818,074,404
  5. Step 5: Solve for x
    x = 818,074,404/20,337
  6. Step 6: Final answer
    x = 40,225.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.