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Finding the Third Proportional to 27,730 and 36,627

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Solution

The third proportional to 27,730 and 36,627 is: 48,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,730 : 36,627 = 36,627 : x
  2. Step 2: Convert to fraction form
    27,730/36,627 = 36,627/x
  3. Step 3: Cross multiply
    27,730x = 36,627 × 36,627
  4. Step 4: Simplify right side
    27,730x = 1,341,537,129
  5. Step 5: Solve for x
    x = 1,341,537,129/27,730
  6. Step 6: Final answer
    x = 48,378.55

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.