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Finding the Third Proportional to 27,020 and 58,201

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Solution

The third proportional to 27,020 and 58,201 is: 125,364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,020 : 58,201 = 58,201 : x
  2. Step 2: Convert to fraction form
    27,020/58,201 = 58,201/x
  3. Step 3: Cross multiply
    27,020x = 58,201 × 58,201
  4. Step 4: Simplify right side
    27,020x = 3,387,356,401
  5. Step 5: Solve for x
    x = 3,387,356,401/27,020
  6. Step 6: Final answer
    x = 125,364.78

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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.