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Finding the Third Proportional to 27,798 and 58,710

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Solution

The third proportional to 27,798 and 58,710 is: 123,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,798 : 58,710 = 58,710 : x
  2. Step 2: Convert to fraction form
    27,798/58,710 = 58,710/x
  3. Step 3: Cross multiply
    27,798x = 58,710 × 58,710
  4. Step 4: Simplify right side
    27,798x = 3,446,864,100
  5. Step 5: Solve for x
    x = 3,446,864,100/27,798
  6. Step 6: Final answer
    x = 123,996.84

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.