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Finding the Third Proportional to 1,161.56 and 1,575.84

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Solution

The third proportional to 1,161.56 and 1,575.84 is: 2,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.56 : 1,575.84 = 1,575.84 : x
  2. Step 2: Convert to fraction form
    1,161.56/1,575.84 = 1,575.84/x
  3. Step 3: Cross multiply
    1,161.56x = 1,575.84 × 1,575.84
  4. Step 4: Simplify right side
    1,161.56x = 2,483,283.52
  5. Step 5: Solve for x
    x = 2,483,283.52/1,161.56
  6. Step 6: Final answer
    x = 2,137.88

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.