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Finding the Third Proportional to 7,484.34 and 10,406.41

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Solution

The third proportional to 7,484.34 and 10,406.41 is: 14,469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,484.34 : 10,406.41 = 10,406.41 : x
  2. Step 2: Convert to fraction form
    7,484.34/10,406.41 = 10,406.41/x
  3. Step 3: Cross multiply
    7,484.34x = 10,406.41 × 10,406.41
  4. Step 4: Simplify right side
    7,484.34x = 108,293,291.04
  5. Step 5: Solve for x
    x = 108,293,291.04/7,484.34
  6. Step 6: Final answer
    x = 14,469.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.