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Finding the Third Proportional to 10,584 and 23,296

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Solution

The third proportional to 10,584 and 23,296 is: 51,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584 : 23,296 = 23,296 : x
  2. Step 2: Convert to fraction form
    10,584/23,296 = 23,296/x
  3. Step 3: Cross multiply
    10,584x = 23,296 × 23,296
  4. Step 4: Simplify right side
    10,584x = 542,703,616
  5. Step 5: Solve for x
    x = 542,703,616/10,584
  6. Step 6: Final answer
    x = 51,275.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.