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Finding the Third Proportional to 1,922.63 and 3,032.44

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Solution

The third proportional to 1,922.63 and 3,032.44 is: 4,782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.63 : 3,032.44 = 3,032.44 : x
  2. Step 2: Convert to fraction form
    1,922.63/3,032.44 = 3,032.44/x
  3. Step 3: Cross multiply
    1,922.63x = 3,032.44 × 3,032.44
  4. Step 4: Simplify right side
    1,922.63x = 9,195,677.19
  5. Step 5: Solve for x
    x = 9,195,677.19/1,922.63
  6. Step 6: Final answer
    x = 4,782.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.