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Finding the Third Proportional to 10,782 and 23,265

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Solution

The third proportional to 10,782 and 23,265 is: 50,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782 : 23,265 = 23,265 : x
  2. Step 2: Convert to fraction form
    10,782/23,265 = 23,265/x
  3. Step 3: Cross multiply
    10,782x = 23,265 × 23,265
  4. Step 4: Simplify right side
    10,782x = 541,260,225
  5. Step 5: Solve for x
    x = 541,260,225/10,782
  6. Step 6: Final answer
    x = 50,200.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.