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Finding the Third Proportional to 2,828.82 and 4,156.63

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Solution

The third proportional to 2,828.82 and 4,156.63 is: 6,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.82 : 4,156.63 = 4,156.63 : x
  2. Step 2: Convert to fraction form
    2,828.82/4,156.63 = 4,156.63/x
  3. Step 3: Cross multiply
    2,828.82x = 4,156.63 × 4,156.63
  4. Step 4: Simplify right side
    2,828.82x = 17,277,563.86
  5. Step 5: Solve for x
    x = 17,277,563.86/2,828.82
  6. Step 6: Final answer
    x = 6,107.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.