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Finding the Third Proportional to 27,537 and 43,766

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Solution

The third proportional to 27,537 and 43,766 is: 69,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,537 : 43,766 = 43,766 : x
  2. Step 2: Convert to fraction form
    27,537/43,766 = 43,766/x
  3. Step 3: Cross multiply
    27,537x = 43,766 × 43,766
  4. Step 4: Simplify right side
    27,537x = 1,915,462,756
  5. Step 5: Solve for x
    x = 1,915,462,756/27,537
  6. Step 6: Final answer
    x = 69,559.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.