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Finding the Third Proportional to 4,433.63 and 9,545.63

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Solution

The third proportional to 4,433.63 and 9,545.63 is: 20,551.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,433.63 : 9,545.63 = 9,545.63 : x
  2. Step 2: Convert to fraction form
    4,433.63/9,545.63 = 9,545.63/x
  3. Step 3: Cross multiply
    4,433.63x = 9,545.63 × 9,545.63
  4. Step 4: Simplify right side
    4,433.63x = 91,118,956.64
  5. Step 5: Solve for x
    x = 91,118,956.64/4,433.63
  6. Step 6: Final answer
    x = 20,551.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.