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Finding the Third Proportional to 1,181.46 and 1,567.79

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Solution

The third proportional to 1,181.46 and 1,567.79 is: 2,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.46 : 1,567.79 = 1,567.79 : x
  2. Step 2: Convert to fraction form
    1,181.46/1,567.79 = 1,567.79/x
  3. Step 3: Cross multiply
    1,181.46x = 1,567.79 × 1,567.79
  4. Step 4: Simplify right side
    1,181.46x = 2,457,974.79
  5. Step 5: Solve for x
    x = 2,457,974.79/1,181.46
  6. Step 6: Final answer
    x = 2,080.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.