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Finding the Third Proportional to 9,603.56 and 14,815.41

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Solution

The third proportional to 9,603.56 and 14,815.41 is: 22,855.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.56 : 14,815.41 = 14,815.41 : x
  2. Step 2: Convert to fraction form
    9,603.56/14,815.41 = 14,815.41/x
  3. Step 3: Cross multiply
    9,603.56x = 14,815.41 × 14,815.41
  4. Step 4: Simplify right side
    9,603.56x = 219,496,262.35
  5. Step 5: Solve for x
    x = 219,496,262.35/9,603.56
  6. Step 6: Final answer
    x = 22,855.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.