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Finding the Third Proportional to 24,672.09 and 54,145.34

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Solution

The third proportional to 24,672.09 and 54,145.34 is: 118,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,672.09 : 54,145.34 = 54,145.34 : x
  2. Step 2: Convert to fraction form
    24,672.09/54,145.34 = 54,145.34/x
  3. Step 3: Cross multiply
    24,672.09x = 54,145.34 × 54,145.34
  4. Step 4: Simplify right side
    24,672.09x = 2,931,717,403.78
  5. Step 5: Solve for x
    x = 2,931,717,403.78/24,672.09
  6. Step 6: Final answer
    x = 118,827.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.