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Finding the Third Proportional to 34,914.38 and 75,900.38

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Solution

The third proportional to 34,914.38 and 75,900.38 is: 164,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,914.38 : 75,900.38 = 75,900.38 : x
  2. Step 2: Convert to fraction form
    34,914.38/75,900.38 = 75,900.38/x
  3. Step 3: Cross multiply
    34,914.38x = 75,900.38 × 75,900.38
  4. Step 4: Simplify right side
    34,914.38x = 5,760,866,925.14
  5. Step 5: Solve for x
    x = 5,760,866,925.14/34,914.38
  6. Step 6: Final answer
    x = 164,999.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.