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Finding the Third Proportional to 27,356 and 37,689

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Solution

The third proportional to 27,356 and 37,689 is: 51,925.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,356 : 37,689 = 37,689 : x
  2. Step 2: Convert to fraction form
    27,356/37,689 = 37,689/x
  3. Step 3: Cross multiply
    27,356x = 37,689 × 37,689
  4. Step 4: Simplify right side
    27,356x = 1,420,460,721
  5. Step 5: Solve for x
    x = 1,420,460,721/27,356
  6. Step 6: Final answer
    x = 51,925.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.