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Finding the Third Proportional to 1,753.88 and 2,637.56

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Solution

The third proportional to 1,753.88 and 2,637.56 is: 3,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.88 : 2,637.56 = 2,637.56 : x
  2. Step 2: Convert to fraction form
    1,753.88/2,637.56 = 2,637.56/x
  3. Step 3: Cross multiply
    1,753.88x = 2,637.56 × 2,637.56
  4. Step 4: Simplify right side
    1,753.88x = 6,956,735.94
  5. Step 5: Solve for x
    x = 6,956,735.94/1,753.88
  6. Step 6: Final answer
    x = 3,966.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.