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Finding the Third Proportional to 34,582 and 75,676

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Solution

The third proportional to 34,582 and 75,676 is: 165,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,582 : 75,676 = 75,676 : x
  2. Step 2: Convert to fraction form
    34,582/75,676 = 75,676/x
  3. Step 3: Cross multiply
    34,582x = 75,676 × 75,676
  4. Step 4: Simplify right side
    34,582x = 5,726,856,976
  5. Step 5: Solve for x
    x = 5,726,856,976/34,582
  6. Step 6: Final answer
    x = 165,602.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.