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Finding the Third Proportional to 15,643.13 and 25,084.69

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Solution

The third proportional to 15,643.13 and 25,084.69 is: 40,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.13 : 25,084.69 = 25,084.69 : x
  2. Step 2: Convert to fraction form
    15,643.13/25,084.69 = 25,084.69/x
  3. Step 3: Cross multiply
    15,643.13x = 25,084.69 × 25,084.69
  4. Step 4: Simplify right side
    15,643.13x = 629,241,546.97
  5. Step 5: Solve for x
    x = 629,241,546.97/15,643.13
  6. Step 6: Final answer
    x = 40,224.80

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.