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Finding the Third Proportional to 11,657 and 24,916

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Solution

The third proportional to 11,657 and 24,916 is: 53,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657 : 24,916 = 24,916 : x
  2. Step 2: Convert to fraction form
    11,657/24,916 = 24,916/x
  3. Step 3: Cross multiply
    11,657x = 24,916 × 24,916
  4. Step 4: Simplify right side
    11,657x = 620,807,056
  5. Step 5: Solve for x
    x = 620,807,056/11,657
  6. Step 6: Final answer
    x = 53,256.16

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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.