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Finding the Third Proportional to 1,950.13 and 4,603.63

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Solution

The third proportional to 1,950.13 and 4,603.63 is: 10,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.13 : 4,603.63 = 4,603.63 : x
  2. Step 2: Convert to fraction form
    1,950.13/4,603.63 = 4,603.63/x
  3. Step 3: Cross multiply
    1,950.13x = 4,603.63 × 4,603.63
  4. Step 4: Simplify right side
    1,950.13x = 21,193,363.14
  5. Step 5: Solve for x
    x = 21,193,363.14/1,950.13
  6. Step 6: Final answer
    x = 10,867.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.