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Finding the Third Proportional to 2,261.65 and 4,983.45

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Solution

The third proportional to 2,261.65 and 4,983.45 is: 10,980.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.65 : 4,983.45 = 4,983.45 : x
  2. Step 2: Convert to fraction form
    2,261.65/4,983.45 = 4,983.45/x
  3. Step 3: Cross multiply
    2,261.65x = 4,983.45 × 4,983.45
  4. Step 4: Simplify right side
    2,261.65x = 24,834,785.58
  5. Step 5: Solve for x
    x = 24,834,785.58/2,261.65
  6. Step 6: Final answer
    x = 10,980.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.