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Finding the Third Proportional to 27,590 and 59,554

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Solution

The third proportional to 27,590 and 59,554 is: 128,549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,590 : 59,554 = 59,554 : x
  2. Step 2: Convert to fraction form
    27,590/59,554 = 59,554/x
  3. Step 3: Cross multiply
    27,590x = 59,554 × 59,554
  4. Step 4: Simplify right side
    27,590x = 3,546,678,916
  5. Step 5: Solve for x
    x = 3,546,678,916/27,590
  6. Step 6: Final answer
    x = 128,549.44

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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.