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Finding the Third Proportional to 27,540 and 39,339

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Solution

The third proportional to 27,540 and 39,339 is: 56,193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,540 : 39,339 = 39,339 : x
  2. Step 2: Convert to fraction form
    27,540/39,339 = 39,339/x
  3. Step 3: Cross multiply
    27,540x = 39,339 × 39,339
  4. Step 4: Simplify right side
    27,540x = 1,547,556,921
  5. Step 5: Solve for x
    x = 1,547,556,921/27,540
  6. Step 6: Final answer
    x = 56,193.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.