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Finding the Third Proportional to 4,466.81 and 10,385.81

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Solution

The third proportional to 4,466.81 and 10,385.81 is: 24,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.81 : 10,385.81 = 10,385.81 : x
  2. Step 2: Convert to fraction form
    4,466.81/10,385.81 = 10,385.81/x
  3. Step 3: Cross multiply
    4,466.81x = 10,385.81 × 10,385.81
  4. Step 4: Simplify right side
    4,466.81x = 107,865,101.29
  5. Step 5: Solve for x
    x = 107,865,101.29/4,466.81
  6. Step 6: Final answer
    x = 24,148.11

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.