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Finding the Third Proportional to 27,564 and 43,705

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Solution

The third proportional to 27,564 and 43,705 is: 69,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564 : 43,705 = 43,705 : x
  2. Step 2: Convert to fraction form
    27,564/43,705 = 43,705/x
  3. Step 3: Cross multiply
    27,564x = 43,705 × 43,705
  4. Step 4: Simplify right side
    27,564x = 1,910,127,025
  5. Step 5: Solve for x
    x = 1,910,127,025/27,564
  6. Step 6: Final answer
    x = 69,297.89

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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.