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Finding the Third Proportional to 41,801.50 and 65,476.50

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Solution

The third proportional to 41,801.50 and 65,476.50 is: 102,560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,801.50 : 65,476.50 = 65,476.50 : x
  2. Step 2: Convert to fraction form
    41,801.50/65,476.50 = 65,476.50/x
  3. Step 3: Cross multiply
    41,801.50x = 65,476.50 × 65,476.50
  4. Step 4: Simplify right side
    41,801.50x = 4,287,172,052.25
  5. Step 5: Solve for x
    x = 4,287,172,052.25/41,801.50
  6. Step 6: Final answer
    x = 102,560.24

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.