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Finding the Third Proportional to 4,465.97 and 10,384.03

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Solution

The third proportional to 4,465.97 and 10,384.03 is: 24,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.97 : 10,384.03 = 10,384.03 : x
  2. Step 2: Convert to fraction form
    4,465.97/10,384.03 = 10,384.03/x
  3. Step 3: Cross multiply
    4,465.97x = 10,384.03 × 10,384.03
  4. Step 4: Simplify right side
    4,465.97x = 107,828,105.00
  5. Step 5: Solve for x
    x = 107,828,105.00/4,465.97
  6. Step 6: Final answer
    x = 24,144.39

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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.