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Finding the Third Proportional to 19,084.50 and 28,539

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Solution

The third proportional to 19,084.50 and 28,539 is: 42,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,084.50 : 28,539 = 28,539 : x
  2. Step 2: Convert to fraction form
    19,084.50/28,539 = 28,539/x
  3. Step 3: Cross multiply
    19,084.50x = 28,539 × 28,539
  4. Step 4: Simplify right side
    19,084.50x = 814,474,521
  5. Step 5: Solve for x
    x = 814,474,521/19,084.50
  6. Step 6: Final answer
    x = 42,677.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.