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Finding the Third Proportional to 34,391.25 and 75,341.25

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Solution

The third proportional to 34,391.25 and 75,341.25 is: 165,050.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,391.25 : 75,341.25 = 75,341.25 : x
  2. Step 2: Convert to fraction form
    34,391.25/75,341.25 = 75,341.25/x
  3. Step 3: Cross multiply
    34,391.25x = 75,341.25 × 75,341.25
  4. Step 4: Simplify right side
    34,391.25x = 5,676,303,951.56
  5. Step 5: Solve for x
    x = 5,676,303,951.56/34,391.25
  6. Step 6: Final answer
    x = 165,050.82

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