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Finding the Third Proportional to 1,635.56 and 2,127.56

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Solution

The third proportional to 1,635.56 and 2,127.56 is: 2,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.56 : 2,127.56 = 2,127.56 : x
  2. Step 2: Convert to fraction form
    1,635.56/2,127.56 = 2,127.56/x
  3. Step 3: Cross multiply
    1,635.56x = 2,127.56 × 2,127.56
  4. Step 4: Simplify right side
    1,635.56x = 4,526,522.19
  5. Step 5: Solve for x
    x = 4,526,522.19/1,635.56
  6. Step 6: Final answer
    x = 2,767.56

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.