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Finding the Third Proportional to 1,603.55 and 2,007.07

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Solution

The third proportional to 1,603.55 and 2,007.07 is: 2,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.55 : 2,007.07 = 2,007.07 : x
  2. Step 2: Convert to fraction form
    1,603.55/2,007.07 = 2,007.07/x
  3. Step 3: Cross multiply
    1,603.55x = 2,007.07 × 2,007.07
  4. Step 4: Simplify right side
    1,603.55x = 4,028,331.24
  5. Step 5: Solve for x
    x = 4,028,331.24/1,603.55
  6. Step 6: Final answer
    x = 2,512.14

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.