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Finding the Third Proportional to 11,659 and 25,297

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Solution

The third proportional to 11,659 and 25,297 is: 54,887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659 : 25,297 = 25,297 : x
  2. Step 2: Convert to fraction form
    11,659/25,297 = 25,297/x
  3. Step 3: Cross multiply
    11,659x = 25,297 × 25,297
  4. Step 4: Simplify right side
    11,659x = 639,938,209
  5. Step 5: Solve for x
    x = 639,938,209/11,659
  6. Step 6: Final answer
    x = 54,887.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.