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Finding the Third Proportional to 14,269.50 and 28,539

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Solution

The third proportional to 14,269.50 and 28,539 is: 57,078

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269.50 : 28,539 = 28,539 : x
  2. Step 2: Convert to fraction form
    14,269.50/28,539 = 28,539/x
  3. Step 3: Cross multiply
    14,269.50x = 28,539 × 28,539
  4. Step 4: Simplify right side
    14,269.50x = 814,474,521
  5. Step 5: Solve for x
    x = 814,474,521/14,269.50
  6. Step 6: Final answer
    x = 57,078

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.