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Finding the Third Proportional to 1,588 and 2,861

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Solution

The third proportional to 1,588 and 2,861 is: 5,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588 : 2,861 = 2,861 : x
  2. Step 2: Convert to fraction form
    1,588/2,861 = 2,861/x
  3. Step 3: Cross multiply
    1,588x = 2,861 × 2,861
  4. Step 4: Simplify right side
    1,588x = 8,185,321
  5. Step 5: Solve for x
    x = 8,185,321/1,588
  6. Step 6: Final answer
    x = 5,154.48

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.