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Finding the Third Proportional to 27,907 and 56,772

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Solution

The third proportional to 27,907 and 56,772 is: 115,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,907 : 56,772 = 56,772 : x
  2. Step 2: Convert to fraction form
    27,907/56,772 = 56,772/x
  3. Step 3: Cross multiply
    27,907x = 56,772 × 56,772
  4. Step 4: Simplify right side
    27,907x = 3,223,059,984
  5. Step 5: Solve for x
    x = 3,223,059,984/27,907
  6. Step 6: Final answer
    x = 115,492.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.