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Finding the Third Proportional to 27,020 and 59,494

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Solution

The third proportional to 27,020 and 59,494 is: 130,996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,020 : 59,494 = 59,494 : x
  2. Step 2: Convert to fraction form
    27,020/59,494 = 59,494/x
  3. Step 3: Cross multiply
    27,020x = 59,494 × 59,494
  4. Step 4: Simplify right side
    27,020x = 3,539,536,036
  5. Step 5: Solve for x
    x = 3,539,536,036/27,020
  6. Step 6: Final answer
    x = 130,996.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.