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Finding the Third Proportional to 11,545 and 24,856

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Solution

The third proportional to 11,545 and 24,856 is: 53,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545 : 24,856 = 24,856 : x
  2. Step 2: Convert to fraction form
    11,545/24,856 = 24,856/x
  3. Step 3: Cross multiply
    11,545x = 24,856 × 24,856
  4. Step 4: Simplify right side
    11,545x = 617,820,736
  5. Step 5: Solve for x
    x = 617,820,736/11,545
  6. Step 6: Final answer
    x = 53,514.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.