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Finding the Third Proportional to 14,242.50 and 20,511

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Solution

The third proportional to 14,242.50 and 20,511 is: 29,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.50 : 20,511 = 20,511 : x
  2. Step 2: Convert to fraction form
    14,242.50/20,511 = 20,511/x
  3. Step 3: Cross multiply
    14,242.50x = 20,511 × 20,511
  4. Step 4: Simplify right side
    14,242.50x = 420,701,121
  5. Step 5: Solve for x
    x = 420,701,121/14,242.50
  6. Step 6: Final answer
    x = 29,538.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.