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Finding the Third Proportional to 15,800 and 23,584

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Solution

The third proportional to 15,800 and 23,584 is: 35,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,800 : 23,584 = 23,584 : x
  2. Step 2: Convert to fraction form
    15,800/23,584 = 23,584/x
  3. Step 3: Cross multiply
    15,800x = 23,584 × 23,584
  4. Step 4: Simplify right side
    15,800x = 556,205,056
  5. Step 5: Solve for x
    x = 556,205,056/15,800
  6. Step 6: Final answer
    x = 35,202.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.