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Finding the Third Proportional to 24,975.56 and 53,493.19

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Solution

The third proportional to 24,975.56 and 53,493.19 is: 114,572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,975.56 : 53,493.19 = 53,493.19 : x
  2. Step 2: Convert to fraction form
    24,975.56/53,493.19 = 53,493.19/x
  3. Step 3: Cross multiply
    24,975.56x = 53,493.19 × 53,493.19
  4. Step 4: Simplify right side
    24,975.56x = 2,861,521,108.91
  5. Step 5: Solve for x
    x = 2,861,521,108.91/24,975.56
  6. Step 6: Final answer
    x = 114,572.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.