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Finding the Third Proportional to 7,603.88 and 11,901.94

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Solution

The third proportional to 7,603.88 and 11,901.94 is: 18,629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603.88 : 11,901.94 = 11,901.94 : x
  2. Step 2: Convert to fraction form
    7,603.88/11,901.94 = 11,901.94/x
  3. Step 3: Cross multiply
    7,603.88x = 11,901.94 × 11,901.94
  4. Step 4: Simplify right side
    7,603.88x = 141,656,116.25
  5. Step 5: Solve for x
    x = 141,656,116.25/7,603.88
  6. Step 6: Final answer
    x = 18,629.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.