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Finding the Third Proportional to 20,613.50 and 28,002

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Solution

The third proportional to 20,613.50 and 28,002 is: 38,038.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,613.50 : 28,002 = 28,002 : x
  2. Step 2: Convert to fraction form
    20,613.50/28,002 = 28,002/x
  3. Step 3: Cross multiply
    20,613.50x = 28,002 × 28,002
  4. Step 4: Simplify right side
    20,613.50x = 784,112,004
  5. Step 5: Solve for x
    x = 784,112,004/20,613.50
  6. Step 6: Final answer
    x = 38,038.76

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.