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Finding the Third Proportional to 3,484.13 and 7,356.38

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Solution

The third proportional to 3,484.13 and 7,356.38 is: 15,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.13 : 7,356.38 = 7,356.38 : x
  2. Step 2: Convert to fraction form
    3,484.13/7,356.38 = 7,356.38/x
  3. Step 3: Cross multiply
    3,484.13x = 7,356.38 × 7,356.38
  4. Step 4: Simplify right side
    3,484.13x = 54,116,253.14
  5. Step 5: Solve for x
    x = 54,116,253.14/3,484.13
  6. Step 6: Final answer
    x = 15,532.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.