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Finding the Third Proportional to 953.86 and 2,036.18

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Solution

The third proportional to 953.86 and 2,036.18 is: 4,346.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.86 : 2,036.18 = 2,036.18 : x
  2. Step 2: Convert to fraction form
    953.86/2,036.18 = 2,036.18/x
  3. Step 3: Cross multiply
    953.86x = 2,036.18 × 2,036.18
  4. Step 4: Simplify right side
    953.86x = 4,146,027.72
  5. Step 5: Solve for x
    x = 4,146,027.72/953.86
  6. Step 6: Final answer
    x = 4,346.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.