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Finding the Third Proportional to 11,278.41 and 24,344.72

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Solution

The third proportional to 11,278.41 and 24,344.72 is: 52,548.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,278.41 : 24,344.72 = 24,344.72 : x
  2. Step 2: Convert to fraction form
    11,278.41/24,344.72 = 24,344.72/x
  3. Step 3: Cross multiply
    11,278.41x = 24,344.72 × 24,344.72
  4. Step 4: Simplify right side
    11,278.41x = 592,665,331.02
  5. Step 5: Solve for x
    x = 592,665,331.02/11,278.41
  6. Step 6: Final answer
    x = 52,548.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.