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Finding the Third Proportional to 25,907.50 and 41,196.75

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Solution

The third proportional to 25,907.50 and 41,196.75 is: 65,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,907.50 : 41,196.75 = 41,196.75 : x
  2. Step 2: Convert to fraction form
    25,907.50/41,196.75 = 41,196.75/x
  3. Step 3: Cross multiply
    25,907.50x = 41,196.75 × 41,196.75
  4. Step 4: Simplify right side
    25,907.50x = 1,697,172,210.56
  5. Step 5: Solve for x
    x = 1,697,172,210.56/25,907.50
  6. Step 6: Final answer
    x = 65,508.91

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.