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Finding the Third Proportional to 10,380 and 22,785

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Solution

The third proportional to 10,380 and 22,785 is: 50,015.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380 : 22,785 = 22,785 : x
  2. Step 2: Convert to fraction form
    10,380/22,785 = 22,785/x
  3. Step 3: Cross multiply
    10,380x = 22,785 × 22,785
  4. Step 4: Simplify right side
    10,380x = 519,156,225
  5. Step 5: Solve for x
    x = 519,156,225/10,380
  6. Step 6: Final answer
    x = 50,015.05

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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.