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Finding the Third Proportional to 11,509 and 24,657

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Solution

The third proportional to 11,509 and 24,657 is: 52,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509 : 24,657 = 24,657 : x
  2. Step 2: Convert to fraction form
    11,509/24,657 = 24,657/x
  3. Step 3: Cross multiply
    11,509x = 24,657 × 24,657
  4. Step 4: Simplify right side
    11,509x = 607,967,649
  5. Step 5: Solve for x
    x = 607,967,649/11,509
  6. Step 6: Final answer
    x = 52,825.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.