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Finding the Third Proportional to 34,620.50 and 75,317

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Solution

The third proportional to 34,620.50 and 75,317 is: 163,852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,620.50 : 75,317 = 75,317 : x
  2. Step 2: Convert to fraction form
    34,620.50/75,317 = 75,317/x
  3. Step 3: Cross multiply
    34,620.50x = 75,317 × 75,317
  4. Step 4: Simplify right side
    34,620.50x = 5,672,650,489
  5. Step 5: Solve for x
    x = 5,672,650,489/34,620.50
  6. Step 6: Final answer
    x = 163,852.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.