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Finding the Third Proportional to 34,772 and 76,454

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Solution

The third proportional to 34,772 and 76,454 is: 168,101.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,772 : 76,454 = 76,454 : x
  2. Step 2: Convert to fraction form
    34,772/76,454 = 76,454/x
  3. Step 3: Cross multiply
    34,772x = 76,454 × 76,454
  4. Step 4: Simplify right side
    34,772x = 5,845,214,116
  5. Step 5: Solve for x
    x = 5,845,214,116/34,772
  6. Step 6: Final answer
    x = 168,101.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.