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Finding the Third Proportional to 3,032.16 and 4,629.23

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Solution

The third proportional to 3,032.16 and 4,629.23 is: 7,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.16 : 4,629.23 = 4,629.23 : x
  2. Step 2: Convert to fraction form
    3,032.16/4,629.23 = 4,629.23/x
  3. Step 3: Cross multiply
    3,032.16x = 4,629.23 × 4,629.23
  4. Step 4: Simplify right side
    3,032.16x = 21,429,810.90
  5. Step 5: Solve for x
    x = 21,429,810.90/3,032.16
  6. Step 6: Final answer
    x = 7,067.52

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Why These Related Problems?

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