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Finding the Third Proportional to 27,130 and 55,988

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Solution

The third proportional to 27,130 and 55,988 is: 115,542.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,130 : 55,988 = 55,988 : x
  2. Step 2: Convert to fraction form
    27,130/55,988 = 55,988/x
  3. Step 3: Cross multiply
    27,130x = 55,988 × 55,988
  4. Step 4: Simplify right side
    27,130x = 3,134,656,144
  5. Step 5: Solve for x
    x = 3,134,656,144/27,130
  6. Step 6: Final answer
    x = 115,542.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.