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Finding the Third Proportional to 10,539 and 22,293

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Solution

The third proportional to 10,539 and 22,293 is: 47,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539 : 22,293 = 22,293 : x
  2. Step 2: Convert to fraction form
    10,539/22,293 = 22,293/x
  3. Step 3: Cross multiply
    10,539x = 22,293 × 22,293
  4. Step 4: Simplify right side
    10,539x = 496,977,849
  5. Step 5: Solve for x
    x = 496,977,849/10,539
  6. Step 6: Final answer
    x = 47,156.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.