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Finding the Third Proportional to 1,541 and 2,171.50

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Solution

The third proportional to 1,541 and 2,171.50 is: 3,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541 : 2,171.50 = 2,171.50 : x
  2. Step 2: Convert to fraction form
    1,541/2,171.50 = 2,171.50/x
  3. Step 3: Cross multiply
    1,541x = 2,171.50 × 2,171.50
  4. Step 4: Simplify right side
    1,541x = 4,715,412.25
  5. Step 5: Solve for x
    x = 4,715,412.25/1,541
  6. Step 6: Final answer
    x = 3,059.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.