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Finding the Third Proportional to 24,902.75 and 53,496.07

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Solution

The third proportional to 24,902.75 and 53,496.07 is: 114,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902.75 : 53,496.07 = 53,496.07 : x
  2. Step 2: Convert to fraction form
    24,902.75/53,496.07 = 53,496.07/x
  3. Step 3: Cross multiply
    24,902.75x = 53,496.07 × 53,496.07
  4. Step 4: Simplify right side
    24,902.75x = 2,861,829,538.88
  5. Step 5: Solve for x
    x = 2,861,829,538.88/24,902.75
  6. Step 6: Final answer
    x = 114,920.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.