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Finding the Third Proportional to 3,051.74 and 7,368.79

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Solution

The third proportional to 3,051.74 and 7,368.79 is: 17,792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.74 : 7,368.79 = 7,368.79 : x
  2. Step 2: Convert to fraction form
    3,051.74/7,368.79 = 7,368.79/x
  3. Step 3: Cross multiply
    3,051.74x = 7,368.79 × 7,368.79
  4. Step 4: Simplify right side
    3,051.74x = 54,298,994.68
  5. Step 5: Solve for x
    x = 54,298,994.68/3,051.74
  6. Step 6: Final answer
    x = 17,792.81

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.