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Finding the Third Proportional to 27,370 and 39,087

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Solution

The third proportional to 27,370 and 39,087 is: 55,820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,370 : 39,087 = 39,087 : x
  2. Step 2: Convert to fraction form
    27,370/39,087 = 39,087/x
  3. Step 3: Cross multiply
    27,370x = 39,087 × 39,087
  4. Step 4: Simplify right side
    27,370x = 1,527,793,569
  5. Step 5: Solve for x
    x = 1,527,793,569/27,370
  6. Step 6: Final answer
    x = 55,820.01

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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.