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Finding the Third Proportional to 2,904.19 and 4,429.69

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Solution

The third proportional to 2,904.19 and 4,429.69 is: 6,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.19 : 4,429.69 = 4,429.69 : x
  2. Step 2: Convert to fraction form
    2,904.19/4,429.69 = 4,429.69/x
  3. Step 3: Cross multiply
    2,904.19x = 4,429.69 × 4,429.69
  4. Step 4: Simplify right side
    2,904.19x = 19,622,131.35
  5. Step 5: Solve for x
    x = 19,622,131.35/2,904.19
  6. Step 6: Final answer
    x = 6,756.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.