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Finding the Third Proportional to 10,175.63 and 24,512.63

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Solution

The third proportional to 10,175.63 and 24,512.63 is: 59,049.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.63 : 24,512.63 = 24,512.63 : x
  2. Step 2: Convert to fraction form
    10,175.63/24,512.63 = 24,512.63/x
  3. Step 3: Cross multiply
    10,175.63x = 24,512.63 × 24,512.63
  4. Step 4: Simplify right side
    10,175.63x = 600,868,784.39
  5. Step 5: Solve for x
    x = 600,868,784.39/10,175.63
  6. Step 6: Final answer
    x = 59,049.82

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.