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Finding the Third Proportional to 959.13 and 2,087.20

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Solution

The third proportional to 959.13 and 2,087.20 is: 4,542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.13 : 2,087.20 = 2,087.20 : x
  2. Step 2: Convert to fraction form
    959.13/2,087.20 = 2,087.20/x
  3. Step 3: Cross multiply
    959.13x = 2,087.20 × 2,087.20
  4. Step 4: Simplify right side
    959.13x = 4,356,420.99
  5. Step 5: Solve for x
    x = 4,356,420.99/959.13
  6. Step 6: Final answer
    x = 4,542.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.