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Finding the Third Proportional to 2,632.88 and 3,841.31

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Solution

The third proportional to 2,632.88 and 3,841.31 is: 5,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.88 : 3,841.31 = 3,841.31 : x
  2. Step 2: Convert to fraction form
    2,632.88/3,841.31 = 3,841.31/x
  3. Step 3: Cross multiply
    2,632.88x = 3,841.31 × 3,841.31
  4. Step 4: Simplify right side
    2,632.88x = 14,755,681.72
  5. Step 5: Solve for x
    x = 14,755,681.72/2,632.88
  6. Step 6: Final answer
    x = 5,604.40

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.