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Finding the Third Proportional to 27,807 and 59,988

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Solution

The third proportional to 27,807 and 59,988 is: 129,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807 : 59,988 = 59,988 : x
  2. Step 2: Convert to fraction form
    27,807/59,988 = 59,988/x
  3. Step 3: Cross multiply
    27,807x = 59,988 × 59,988
  4. Step 4: Simplify right side
    27,807x = 3,598,560,144
  5. Step 5: Solve for x
    x = 3,598,560,144/27,807
  6. Step 6: Final answer
    x = 129,412.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.