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Finding the Third Proportional to 3,032.81 and 6,629.53

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Solution

The third proportional to 3,032.81 and 6,629.53 is: 14,491.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.81 : 6,629.53 = 6,629.53 : x
  2. Step 2: Convert to fraction form
    3,032.81/6,629.53 = 6,629.53/x
  3. Step 3: Cross multiply
    3,032.81x = 6,629.53 × 6,629.53
  4. Step 4: Simplify right side
    3,032.81x = 43,950,684.59
  5. Step 5: Solve for x
    x = 43,950,684.59/3,032.81
  6. Step 6: Final answer
    x = 14,491.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.