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Finding the Third Proportional to 3,032.44 and 4,684.92

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Solution

The third proportional to 3,032.44 and 4,684.92 is: 7,237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.44 : 4,684.92 = 4,684.92 : x
  2. Step 2: Convert to fraction form
    3,032.44/4,684.92 = 4,684.92/x
  3. Step 3: Cross multiply
    3,032.44x = 4,684.92 × 4,684.92
  4. Step 4: Simplify right side
    3,032.44x = 21,948,492.97
  5. Step 5: Solve for x
    x = 21,948,492.97/3,032.44
  6. Step 6: Final answer
    x = 7,237.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.