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Finding the Third Proportional to 34,551.14 and 75,355.73

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Solution

The third proportional to 34,551.14 and 75,355.73 is: 164,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,551.14 : 75,355.73 = 75,355.73 : x
  2. Step 2: Convert to fraction form
    34,551.14/75,355.73 = 75,355.73/x
  3. Step 3: Cross multiply
    34,551.14x = 75,355.73 × 75,355.73
  4. Step 4: Simplify right side
    34,551.14x = 5,678,486,703.20
  5. Step 5: Solve for x
    x = 5,678,486,703.20/34,551.14
  6. Step 6: Final answer
    x = 164,350.20

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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.