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Finding the Third Proportional to 2,039.63 and 2,250.84

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Solution

The third proportional to 2,039.63 and 2,250.84 is: 2,483.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.63 : 2,250.84 = 2,250.84 : x
  2. Step 2: Convert to fraction form
    2,039.63/2,250.84 = 2,250.84/x
  3. Step 3: Cross multiply
    2,039.63x = 2,250.84 × 2,250.84
  4. Step 4: Simplify right side
    2,039.63x = 5,066,297.59
  5. Step 5: Solve for x
    x = 5,066,297.59/2,039.63
  6. Step 6: Final answer
    x = 2,483.94

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.