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Finding the Third Proportional to 10,455 and 22,341

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Solution

The third proportional to 10,455 and 22,341 is: 47,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455 : 22,341 = 22,341 : x
  2. Step 2: Convert to fraction form
    10,455/22,341 = 22,341/x
  3. Step 3: Cross multiply
    10,455x = 22,341 × 22,341
  4. Step 4: Simplify right side
    10,455x = 499,120,281
  5. Step 5: Solve for x
    x = 499,120,281/10,455
  6. Step 6: Final answer
    x = 47,739.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.