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Finding the Third Proportional to 1,956.13 and 4,219.44

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Solution

The third proportional to 1,956.13 and 4,219.44 is: 9,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.13 : 4,219.44 = 4,219.44 : x
  2. Step 2: Convert to fraction form
    1,956.13/4,219.44 = 4,219.44/x
  3. Step 3: Cross multiply
    1,956.13x = 4,219.44 × 4,219.44
  4. Step 4: Simplify right side
    1,956.13x = 17,803,652.82
  5. Step 5: Solve for x
    x = 17,803,652.82/1,956.13
  6. Step 6: Final answer
    x = 9,101.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.