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Finding the Third Proportional to 2,637 and 3,914.91

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Solution

The third proportional to 2,637 and 3,914.91 is: 5,812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637 : 3,914.91 = 3,914.91 : x
  2. Step 2: Convert to fraction form
    2,637/3,914.91 = 3,914.91/x
  3. Step 3: Cross multiply
    2,637x = 3,914.91 × 3,914.91
  4. Step 4: Simplify right side
    2,637x = 15,326,490.95
  5. Step 5: Solve for x
    x = 15,326,490.95/2,637
  6. Step 6: Final answer
    x = 5,812.09

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.