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Finding the Third Proportional to 27,772 and 58,764

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Solution

The third proportional to 27,772 and 58,764 is: 124,341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772 : 58,764 = 58,764 : x
  2. Step 2: Convert to fraction form
    27,772/58,764 = 58,764/x
  3. Step 3: Cross multiply
    27,772x = 58,764 × 58,764
  4. Step 4: Simplify right side
    27,772x = 3,453,207,696
  5. Step 5: Solve for x
    x = 3,453,207,696/27,772
  6. Step 6: Final answer
    x = 124,341.34

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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.