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Finding the Third Proportional to 10,539 and 24,336

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Solution

The third proportional to 10,539 and 24,336 is: 56,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539 : 24,336 = 24,336 : x
  2. Step 2: Convert to fraction form
    10,539/24,336 = 24,336/x
  3. Step 3: Cross multiply
    10,539x = 24,336 × 24,336
  4. Step 4: Simplify right side
    10,539x = 592,240,896
  5. Step 5: Solve for x
    x = 592,240,896/10,539
  6. Step 6: Final answer
    x = 56,195.17

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.