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Finding the Third Proportional to 4,369.13 and 9,356.16

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Solution

The third proportional to 4,369.13 and 9,356.16 is: 20,035.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369.13 : 9,356.16 = 9,356.16 : x
  2. Step 2: Convert to fraction form
    4,369.13/9,356.16 = 9,356.16/x
  3. Step 3: Cross multiply
    4,369.13x = 9,356.16 × 9,356.16
  4. Step 4: Simplify right side
    4,369.13x = 87,537,659.77
  5. Step 5: Solve for x
    x = 87,537,659.77/4,369.13
  6. Step 6: Final answer
    x = 20,035.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.