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Finding the Third Proportional to 11,520 and 25,497

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Solution

The third proportional to 11,520 and 25,497 is: 56,432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520 : 25,497 = 25,497 : x
  2. Step 2: Convert to fraction form
    11,520/25,497 = 25,497/x
  3. Step 3: Cross multiply
    11,520x = 25,497 × 25,497
  4. Step 4: Simplify right side
    11,520x = 650,097,009
  5. Step 5: Solve for x
    x = 650,097,009/11,520
  6. Step 6: Final answer
    x = 56,432.03

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.