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Finding the Third Proportional to 27,608 and 59,590

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Solution

The third proportional to 27,608 and 59,590 is: 128,620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,608 : 59,590 = 59,590 : x
  2. Step 2: Convert to fraction form
    27,608/59,590 = 59,590/x
  3. Step 3: Cross multiply
    27,608x = 59,590 × 59,590
  4. Step 4: Simplify right side
    27,608x = 3,550,968,100
  5. Step 5: Solve for x
    x = 3,550,968,100/27,608
  6. Step 6: Final answer
    x = 128,620.98

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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.