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Finding the Third Proportional to 16,261 and 35,497

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Solution

The third proportional to 16,261 and 35,497 is: 77,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,261 : 35,497 = 35,497 : x
  2. Step 2: Convert to fraction form
    16,261/35,497 = 35,497/x
  3. Step 3: Cross multiply
    16,261x = 35,497 × 35,497
  4. Step 4: Simplify right side
    16,261x = 1,260,037,009
  5. Step 5: Solve for x
    x = 1,260,037,009/16,261
  6. Step 6: Final answer
    x = 77,488.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.