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Finding the Third Proportional to 27,014 and 58,024

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Solution

The third proportional to 27,014 and 58,024 is: 124,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,014 : 58,024 = 58,024 : x
  2. Step 2: Convert to fraction form
    27,014/58,024 = 58,024/x
  3. Step 3: Cross multiply
    27,014x = 58,024 × 58,024
  4. Step 4: Simplify right side
    27,014x = 3,366,784,576
  5. Step 5: Solve for x
    x = 3,366,784,576/27,014
  6. Step 6: Final answer
    x = 124,631.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.