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Finding the Third Proportional to 27,810 and 56,900

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Solution

The third proportional to 27,810 and 56,900 is: 116,418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,810 : 56,900 = 56,900 : x
  2. Step 2: Convert to fraction form
    27,810/56,900 = 56,900/x
  3. Step 3: Cross multiply
    27,810x = 56,900 × 56,900
  4. Step 4: Simplify right side
    27,810x = 3,237,610,000
  5. Step 5: Solve for x
    x = 3,237,610,000/27,810
  6. Step 6: Final answer
    x = 116,418.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.