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Finding the Third Proportional to 16,665 and 39,339

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Solution

The third proportional to 16,665 and 39,339 is: 92,862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,665 : 39,339 = 39,339 : x
  2. Step 2: Convert to fraction form
    16,665/39,339 = 39,339/x
  3. Step 3: Cross multiply
    16,665x = 39,339 × 39,339
  4. Step 4: Simplify right side
    16,665x = 1,547,556,921
  5. Step 5: Solve for x
    x = 1,547,556,921/16,665
  6. Step 6: Final answer
    x = 92,862.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.