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Finding the Third Proportional to 1,627.88 and 3,828.94

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Solution

The third proportional to 1,627.88 and 3,828.94 is: 9,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.88 : 3,828.94 = 3,828.94 : x
  2. Step 2: Convert to fraction form
    1,627.88/3,828.94 = 3,828.94/x
  3. Step 3: Cross multiply
    1,627.88x = 3,828.94 × 3,828.94
  4. Step 4: Simplify right side
    1,627.88x = 14,660,762.38
  5. Step 5: Solve for x
    x = 14,660,762.38/1,627.88
  6. Step 6: Final answer
    x = 9,006.07

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.