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Finding the Third Proportional to 16,207 and 34,943

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Solution

The third proportional to 16,207 and 34,943 is: 75,338.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207 : 34,943 = 34,943 : x
  2. Step 2: Convert to fraction form
    16,207/34,943 = 34,943/x
  3. Step 3: Cross multiply
    16,207x = 34,943 × 34,943
  4. Step 4: Simplify right side
    16,207x = 1,221,013,249
  5. Step 5: Solve for x
    x = 1,221,013,249/16,207
  6. Step 6: Final answer
    x = 75,338.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.