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Finding the Third Proportional to 27,746 and 62,765

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Solution

The third proportional to 27,746 and 62,765 is: 141,982.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,746 : 62,765 = 62,765 : x
  2. Step 2: Convert to fraction form
    27,746/62,765 = 62,765/x
  3. Step 3: Cross multiply
    27,746x = 62,765 × 62,765
  4. Step 4: Simplify right side
    27,746x = 3,939,445,225
  5. Step 5: Solve for x
    x = 3,939,445,225/27,746
  6. Step 6: Final answer
    x = 141,982.46

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.