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Finding the Third Proportional to 1,000.13 and 2,050.13

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Solution

The third proportional to 1,000.13 and 2,050.13 is: 4,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.13 : 2,050.13 = 2,050.13 : x
  2. Step 2: Convert to fraction form
    1,000.13/2,050.13 = 2,050.13/x
  3. Step 3: Cross multiply
    1,000.13x = 2,050.13 × 2,050.13
  4. Step 4: Simplify right side
    1,000.13x = 4,203,012.52
  5. Step 5: Solve for x
    x = 4,203,012.52/1,000.13
  6. Step 6: Final answer
    x = 4,202.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.