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Finding the Third Proportional to 27,875 and 58,058

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Solution

The third proportional to 27,875 and 58,058 is: 120,923.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,875 : 58,058 = 58,058 : x
  2. Step 2: Convert to fraction form
    27,875/58,058 = 58,058/x
  3. Step 3: Cross multiply
    27,875x = 58,058 × 58,058
  4. Step 4: Simplify right side
    27,875x = 3,370,731,364
  5. Step 5: Solve for x
    x = 3,370,731,364/27,875
  6. Step 6: Final answer
    x = 120,923.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.