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Finding the Third Proportional to 4,892.27 and 10,701.49

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Solution

The third proportional to 4,892.27 and 10,701.49 is: 23,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.27 : 10,701.49 = 10,701.49 : x
  2. Step 2: Convert to fraction form
    4,892.27/10,701.49 = 10,701.49/x
  3. Step 3: Cross multiply
    4,892.27x = 10,701.49 × 10,701.49
  4. Step 4: Simplify right side
    4,892.27x = 114,521,935.04
  5. Step 5: Solve for x
    x = 114,521,935.04/4,892.27
  6. Step 6: Final answer
    x = 23,408.74

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Why These Related Problems?

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