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Finding the Third Proportional to 861 and 2,101.50

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Solution

The third proportional to 861 and 2,101.50 is: 5,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    861 : 2,101.50 = 2,101.50 : x
  2. Step 2: Convert to fraction form
    861/2,101.50 = 2,101.50/x
  3. Step 3: Cross multiply
    861x = 2,101.50 × 2,101.50
  4. Step 4: Simplify right side
    861x = 4,416,302.25
  5. Step 5: Solve for x
    x = 4,416,302.25/861
  6. Step 6: Final answer
    x = 5,129.27

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.