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Finding the Third Proportional to 959.13 and 1,558.83

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Solution

The third proportional to 959.13 and 1,558.83 is: 2,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.13 : 1,558.83 = 1,558.83 : x
  2. Step 2: Convert to fraction form
    959.13/1,558.83 = 1,558.83/x
  3. Step 3: Cross multiply
    959.13x = 1,558.83 × 1,558.83
  4. Step 4: Simplify right side
    959.13x = 2,429,945.12
  5. Step 5: Solve for x
    x = 2,429,945.12/959.13
  6. Step 6: Final answer
    x = 2,533.48

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.