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Finding the Third Proportional to 10,539 and 24,399

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Solution

The third proportional to 10,539 and 24,399 is: 56,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539 : 24,399 = 24,399 : x
  2. Step 2: Convert to fraction form
    10,539/24,399 = 24,399/x
  3. Step 3: Cross multiply
    10,539x = 24,399 × 24,399
  4. Step 4: Simplify right side
    10,539x = 595,311,201
  5. Step 5: Solve for x
    x = 595,311,201/10,539
  6. Step 6: Final answer
    x = 56,486.50

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.