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Finding the Third Proportional to 27,351 and 58,590

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Solution

The third proportional to 27,351 and 58,590 is: 125,508.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,351 : 58,590 = 58,590 : x
  2. Step 2: Convert to fraction form
    27,351/58,590 = 58,590/x
  3. Step 3: Cross multiply
    27,351x = 58,590 × 58,590
  4. Step 4: Simplify right side
    27,351x = 3,432,788,100
  5. Step 5: Solve for x
    x = 3,432,788,100/27,351
  6. Step 6: Final answer
    x = 125,508.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.