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Finding the Third Proportional to 34,905 and 75,344.75

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Solution

The third proportional to 34,905 and 75,344.75 is: 162,636.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,905 : 75,344.75 = 75,344.75 : x
  2. Step 2: Convert to fraction form
    34,905/75,344.75 = 75,344.75/x
  3. Step 3: Cross multiply
    34,905x = 75,344.75 × 75,344.75
  4. Step 4: Simplify right side
    34,905x = 5,676,831,352.56
  5. Step 5: Solve for x
    x = 5,676,831,352.56/34,905
  6. Step 6: Final answer
    x = 162,636.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.