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Finding the Third Proportional to 27,707 and 58,875

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Solution

The third proportional to 27,707 and 58,875 is: 125,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,707 : 58,875 = 58,875 : x
  2. Step 2: Convert to fraction form
    27,707/58,875 = 58,875/x
  3. Step 3: Cross multiply
    27,707x = 58,875 × 58,875
  4. Step 4: Simplify right side
    27,707x = 3,466,265,625
  5. Step 5: Solve for x
    x = 3,466,265,625/27,707
  6. Step 6: Final answer
    x = 125,104.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.