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Finding the Third Proportional to 27,583 and 58,405

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Solution

The third proportional to 27,583 and 58,405 is: 123,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,583 : 58,405 = 58,405 : x
  2. Step 2: Convert to fraction form
    27,583/58,405 = 58,405/x
  3. Step 3: Cross multiply
    27,583x = 58,405 × 58,405
  4. Step 4: Simplify right side
    27,583x = 3,411,144,025
  5. Step 5: Solve for x
    x = 3,411,144,025/27,583
  6. Step 6: Final answer
    x = 123,668.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.