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Finding the Third Proportional to 18,569 and 28,308

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Solution

The third proportional to 18,569 and 28,308 is: 43,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,569 : 28,308 = 28,308 : x
  2. Step 2: Convert to fraction form
    18,569/28,308 = 28,308/x
  3. Step 3: Cross multiply
    18,569x = 28,308 × 28,308
  4. Step 4: Simplify right side
    18,569x = 801,342,864
  5. Step 5: Solve for x
    x = 801,342,864/18,569
  6. Step 6: Final answer
    x = 43,154.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.